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Finding the Third Proportional to 546,862,925 and 781,454,398

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Solution

The third proportional to 546,862,925 and 781,454,398 is: 1,116,680,155.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,862,925 : 781,454,398 = 781,454,398 : x
  2. Step 2: Convert to fraction form
    546,862,925/781,454,398 = 781,454,398/x
  3. Step 3: Cross multiply
    546,862,925x = 781,454,398 × 781,454,398
  4. Step 4: Simplify right side
    546,862,925x = 610,670,976,153,542,400
  5. Step 5: Solve for x
    x = 610,670,976,153,542,400/546,862,925
  6. Step 6: Final answer
    x = 1,116,680,155.55

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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.