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Finding the Third Proportional to 641,205 and 1,000,626

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Solution

The third proportional to 641,205 and 1,000,626 is: 1,561,516.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,205 : 1,000,626 = 1,000,626 : x
  2. Step 2: Convert to fraction form
    641,205/1,000,626 = 1,000,626/x
  3. Step 3: Cross multiply
    641,205x = 1,000,626 × 1,000,626
  4. Step 4: Simplify right side
    641,205x = 1,001,252,391,876
  5. Step 5: Solve for x
    x = 1,001,252,391,876/641,205
  6. Step 6: Final answer
    x = 1,561,516.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.