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Finding the Third Proportional to 602,932,860 and 1,306,031,382

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Solution

The third proportional to 602,932,860 and 1,306,031,382 is: 2,829,034,680.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,932,860 : 1,306,031,382 = 1,306,031,382 : x
  2. Step 2: Convert to fraction form
    602,932,860/1,306,031,382 = 1,306,031,382/x
  3. Step 3: Cross multiply
    602,932,860x = 1,306,031,382 × 1,306,031,382
  4. Step 4: Simplify right side
    602,932,860x = 1,705,717,970,768,829,952
  5. Step 5: Solve for x
    x = 1,705,717,970,768,829,952/602,932,860
  6. Step 6: Final answer
    x = 2,829,034,680.19

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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.