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Finding the Third Proportional to 2,272,452 and 4,951,688

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Solution

The third proportional to 2,272,452 and 4,951,688 is: 10,789,761.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272,452 : 4,951,688 = 4,951,688 : x
  2. Step 2: Convert to fraction form
    2,272,452/4,951,688 = 4,951,688/x
  3. Step 3: Cross multiply
    2,272,452x = 4,951,688 × 4,951,688
  4. Step 4: Simplify right side
    2,272,452x = 24,519,214,049,344
  5. Step 5: Solve for x
    x = 24,519,214,049,344/2,272,452
  6. Step 6: Final answer
    x = 10,789,761.04

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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.