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Finding the Third Proportional to 602,573,933 and 1,305,703,684

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Solution

The third proportional to 602,573,933 and 1,305,703,684 is: 2,829,299,471.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,573,933 : 1,305,703,684 = 1,305,703,684 : x
  2. Step 2: Convert to fraction form
    602,573,933/1,305,703,684 = 1,305,703,684/x
  3. Step 3: Cross multiply
    602,573,933x = 1,305,703,684 × 1,305,703,684
  4. Step 4: Simplify right side
    602,573,933x = 1,704,862,110,411,171,840
  5. Step 5: Solve for x
    x = 1,704,862,110,411,171,840/602,573,933
  6. Step 6: Final answer
    x = 2,829,299,471.89

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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.