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Finding the Third Proportional to 419,395 and 897,565

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Solution

The third proportional to 419,395 and 897,565 is: 1,920,916.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,395 : 897,565 = 897,565 : x
  2. Step 2: Convert to fraction form
    419,395/897,565 = 897,565/x
  3. Step 3: Cross multiply
    419,395x = 897,565 × 897,565
  4. Step 4: Simplify right side
    419,395x = 805,622,929,225
  5. Step 5: Solve for x
    x = 805,622,929,225/419,395
  6. Step 6: Final answer
    x = 1,920,916.87

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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.