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Finding the Third Proportional to 546,862,944 and 781,454,427

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Solution

The third proportional to 546,862,944 and 781,454,427 is: 1,116,680,199.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,862,944 : 781,454,427 = 781,454,427 : x
  2. Step 2: Convert to fraction form
    546,862,944/781,454,427 = 781,454,427/x
  3. Step 3: Cross multiply
    546,862,944x = 781,454,427 × 781,454,427
  4. Step 4: Simplify right side
    546,862,944x = 610,671,021,477,898,368
  5. Step 5: Solve for x
    x = 610,671,021,477,898,368/546,862,944
  6. Step 6: Final answer
    x = 1,116,680,199.63

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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.