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Finding the Third Proportional to 727,802,018 and 1,040,765,459

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Solution

The third proportional to 727,802,018 and 1,040,765,459 is: 1,488,306,866.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,802,018 : 1,040,765,459 = 1,040,765,459 : x
  2. Step 2: Convert to fraction form
    727,802,018/1,040,765,459 = 1,040,765,459/x
  3. Step 3: Cross multiply
    727,802,018x = 1,040,765,459 × 1,040,765,459
  4. Step 4: Simplify right side
    727,802,018x = 1,083,192,740,647,480,704
  5. Step 5: Solve for x
    x = 1,083,192,740,647,480,704/727,802,018
  6. Step 6: Final answer
    x = 1,488,306,866.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.