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Finding the Third Proportional to 415,540 and 896,692

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Solution

The third proportional to 415,540 and 896,692 is: 1,934,967.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,540 : 896,692 = 896,692 : x
  2. Step 2: Convert to fraction form
    415,540/896,692 = 896,692/x
  3. Step 3: Cross multiply
    415,540x = 896,692 × 896,692
  4. Step 4: Simplify right side
    415,540x = 804,056,542,864
  5. Step 5: Solve for x
    x = 804,056,542,864/415,540
  6. Step 6: Final answer
    x = 1,934,967.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.