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Finding the Third Proportional to 461,882 and 992,524

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Solution

The third proportional to 461,882 and 992,524 is: 2,132,804.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,882 : 992,524 = 992,524 : x
  2. Step 2: Convert to fraction form
    461,882/992,524 = 992,524/x
  3. Step 3: Cross multiply
    461,882x = 992,524 × 992,524
  4. Step 4: Simplify right side
    461,882x = 985,103,890,576
  5. Step 5: Solve for x
    x = 985,103,890,576/461,882
  6. Step 6: Final answer
    x = 2,132,804.25

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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.