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Finding the Third Proportional to 419,396 and 897,567

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Solution

The third proportional to 419,396 and 897,567 is: 1,920,920.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,396 : 897,567 = 897,567 : x
  2. Step 2: Convert to fraction form
    419,396/897,567 = 897,567/x
  3. Step 3: Cross multiply
    419,396x = 897,567 × 897,567
  4. Step 4: Simplify right side
    419,396x = 805,626,519,489
  5. Step 5: Solve for x
    x = 805,626,519,489/419,396
  6. Step 6: Final answer
    x = 1,920,920.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.