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Finding the Third Proportional to 625,474 and 1,365,644

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Solution

The third proportional to 625,474 and 1,365,644 is: 2,981,712.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,474 : 1,365,644 = 1,365,644 : x
  2. Step 2: Convert to fraction form
    625,474/1,365,644 = 1,365,644/x
  3. Step 3: Cross multiply
    625,474x = 1,365,644 × 1,365,644
  4. Step 4: Simplify right side
    625,474x = 1,864,983,534,736
  5. Step 5: Solve for x
    x = 1,864,983,534,736/625,474
  6. Step 6: Final answer
    x = 2,981,712.32

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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.