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Finding the Third Proportional to 407,787 and 959,441

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Solution

The third proportional to 407,787 and 959,441 is: 2,257,372.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,787 : 959,441 = 959,441 : x
  2. Step 2: Convert to fraction form
    407,787/959,441 = 959,441/x
  3. Step 3: Cross multiply
    407,787x = 959,441 × 959,441
  4. Step 4: Simplify right side
    407,787x = 920,527,032,481
  5. Step 5: Solve for x
    x = 920,527,032,481/407,787
  6. Step 6: Final answer
    x = 2,257,372.19

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.