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Finding the Third Proportional to 655,416,866 and 1,403,802,676

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Solution

The third proportional to 655,416,866 and 1,403,802,676 is: 3,006,730,609.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,416,866 : 1,403,802,676 = 1,403,802,676 : x
  2. Step 2: Convert to fraction form
    655,416,866/1,403,802,676 = 1,403,802,676/x
  3. Step 3: Cross multiply
    655,416,866x = 1,403,802,676 × 1,403,802,676
  4. Step 4: Simplify right side
    655,416,866x = 1,970,661,953,144,761,088
  5. Step 5: Solve for x
    x = 1,970,661,953,144,761,088/655,416,866
  6. Step 6: Final answer
    x = 3,006,730,609.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.