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Finding the Third Proportional to 625,484 and 1,365,682

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Solution

The third proportional to 625,484 and 1,365,682 is: 2,981,830.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,484 : 1,365,682 = 1,365,682 : x
  2. Step 2: Convert to fraction form
    625,484/1,365,682 = 1,365,682/x
  3. Step 3: Cross multiply
    625,484x = 1,365,682 × 1,365,682
  4. Step 4: Simplify right side
    625,484x = 1,865,087,325,124
  5. Step 5: Solve for x
    x = 1,865,087,325,124/625,484
  6. Step 6: Final answer
    x = 2,981,830.59

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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.