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Finding the Third Proportional to 413,144 and 886,552

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Solution

The third proportional to 413,144 and 886,552 is: 1,902,422.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,144 : 886,552 = 886,552 : x
  2. Step 2: Convert to fraction form
    413,144/886,552 = 886,552/x
  3. Step 3: Cross multiply
    413,144x = 886,552 × 886,552
  4. Step 4: Simplify right side
    413,144x = 785,974,448,704
  5. Step 5: Solve for x
    x = 785,974,448,704/413,144
  6. Step 6: Final answer
    x = 1,902,422.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.