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Finding the Third Proportional to 602,573,930.58 and 1,305,703,679.77

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Solution

The third proportional to 602,573,930.58 and 1,305,703,679.77 is: 2,829,299,464.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,573,930.58 : 1,305,703,679.77 = 1,305,703,679.77 : x
  2. Step 2: Convert to fraction form
    602,573,930.58/1,305,703,679.77 = 1,305,703,679.77/x
  3. Step 3: Cross multiply
    602,573,930.58x = 1,305,703,679.77 × 1,305,703,679.77
  4. Step 4: Simplify right side
    602,573,930.58x = 1,704,862,099,353,428,480
  5. Step 5: Solve for x
    x = 1,704,862,099,353,428,480/602,573,930.58
  6. Step 6: Final answer
    x = 2,829,299,464.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.