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Finding the Third Proportional to 477,861,806 and 1,042,584,689

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Solution

The third proportional to 477,861,806 and 1,042,584,689 is: 2,274,680,294.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,861,806 : 1,042,584,689 = 1,042,584,689 : x
  2. Step 2: Convert to fraction form
    477,861,806/1,042,584,689 = 1,042,584,689/x
  3. Step 3: Cross multiply
    477,861,806x = 1,042,584,689 × 1,042,584,689
  4. Step 4: Simplify right side
    477,861,806x = 1,086,982,833,737,226,752
  5. Step 5: Solve for x
    x = 1,086,982,833,737,226,752/477,861,806
  6. Step 6: Final answer
    x = 2,274,680,294.78

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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.