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Finding the Third Proportional to 477,861,810 and 1,042,584,702

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Solution

The third proportional to 477,861,810 and 1,042,584,702 is: 2,274,680,332.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,861,810 : 1,042,584,702 = 1,042,584,702 : x
  2. Step 2: Convert to fraction form
    477,861,810/1,042,584,702 = 1,042,584,702/x
  3. Step 3: Cross multiply
    477,861,810x = 1,042,584,702 × 1,042,584,702
  4. Step 4: Simplify right side
    477,861,810x = 1,086,982,860,844,428,800
  5. Step 5: Solve for x
    x = 1,086,982,860,844,428,800/477,861,810
  6. Step 6: Final answer
    x = 2,274,680,332.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.