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Finding the Third Proportional to 625,416 and 1,474,908

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Solution

The third proportional to 625,416 and 1,474,908 is: 3,478,250.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,416 : 1,474,908 = 1,474,908 : x
  2. Step 2: Convert to fraction form
    625,416/1,474,908 = 1,474,908/x
  3. Step 3: Cross multiply
    625,416x = 1,474,908 × 1,474,908
  4. Step 4: Simplify right side
    625,416x = 2,175,353,608,464
  5. Step 5: Solve for x
    x = 2,175,353,608,464/625,416
  6. Step 6: Final answer
    x = 3,478,250.65

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.