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Finding the Third Proportional to 407,061 and 886,524

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Solution

The third proportional to 407,061 and 886,524 is: 1,930,729.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,061 : 886,524 = 886,524 : x
  2. Step 2: Convert to fraction form
    407,061/886,524 = 886,524/x
  3. Step 3: Cross multiply
    407,061x = 886,524 × 886,524
  4. Step 4: Simplify right side
    407,061x = 785,924,802,576
  5. Step 5: Solve for x
    x = 785,924,802,576/407,061
  6. Step 6: Final answer
    x = 1,930,729.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.