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Finding the Third Proportional to 625,444 and 1,365,584

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Solution

The third proportional to 625,444 and 1,365,584 is: 2,981,593.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,444 : 1,365,584 = 1,365,584 : x
  2. Step 2: Convert to fraction form
    625,444/1,365,584 = 1,365,584/x
  3. Step 3: Cross multiply
    625,444x = 1,365,584 × 1,365,584
  4. Step 4: Simplify right side
    625,444x = 1,864,819,661,056
  5. Step 5: Solve for x
    x = 1,864,819,661,056/625,444
  6. Step 6: Final answer
    x = 2,981,593.33

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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.