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Finding the Third Proportional to 625,424 and 1,474,928

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Solution

The third proportional to 625,424 and 1,474,928 is: 3,478,300.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,424 : 1,474,928 = 1,474,928 : x
  2. Step 2: Convert to fraction form
    625,424/1,474,928 = 1,474,928/x
  3. Step 3: Cross multiply
    625,424x = 1,474,928 × 1,474,928
  4. Step 4: Simplify right side
    625,424x = 2,175,412,605,184
  5. Step 5: Solve for x
    x = 2,175,412,605,184/625,424
  6. Step 6: Final answer
    x = 3,478,300.49

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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.