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Finding the Third Proportional to 641,014 and 928,448

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Solution

The third proportional to 641,014 and 928,448 is: 1,344,768.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,014 : 928,448 = 928,448 : x
  2. Step 2: Convert to fraction form
    641,014/928,448 = 928,448/x
  3. Step 3: Cross multiply
    641,014x = 928,448 × 928,448
  4. Step 4: Simplify right side
    641,014x = 862,015,688,704
  5. Step 5: Solve for x
    x = 862,015,688,704/641,014
  6. Step 6: Final answer
    x = 1,344,768.90

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.