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Finding the Third Proportional to 602,823,366 and 1,298,015,053

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Solution

The third proportional to 602,823,366 and 1,298,015,053 is: 2,794,919,992.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,823,366 : 1,298,015,053 = 1,298,015,053 : x
  2. Step 2: Convert to fraction form
    602,823,366/1,298,015,053 = 1,298,015,053/x
  3. Step 3: Cross multiply
    602,823,366x = 1,298,015,053 × 1,298,015,053
  4. Step 4: Simplify right side
    602,823,366x = 1,684,843,077,814,592,768
  5. Step 5: Solve for x
    x = 1,684,843,077,814,592,768/602,823,366
  6. Step 6: Final answer
    x = 2,794,919,992.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.