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Finding the Third Proportional to 727,802,016 and 1,040,765,456

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Solution

The third proportional to 727,802,016 and 1,040,765,456 is: 1,488,306,861.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,802,016 : 1,040,765,456 = 1,040,765,456 : x
  2. Step 2: Convert to fraction form
    727,802,016/1,040,765,456 = 1,040,765,456/x
  3. Step 3: Cross multiply
    727,802,016x = 1,040,765,456 × 1,040,765,456
  4. Step 4: Simplify right side
    727,802,016x = 1,083,192,734,402,887,936
  5. Step 5: Solve for x
    x = 1,083,192,734,402,887,936/727,802,016
  6. Step 6: Final answer
    x = 1,488,306,861.74

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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.