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Finding the Third Proportional to 461,896 and 992,552

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Solution

The third proportional to 461,896 and 992,552 is: 2,132,859.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,896 : 992,552 = 992,552 : x
  2. Step 2: Convert to fraction form
    461,896/992,552 = 992,552/x
  3. Step 3: Cross multiply
    461,896x = 992,552 × 992,552
  4. Step 4: Simplify right side
    461,896x = 985,159,472,704
  5. Step 5: Solve for x
    x = 985,159,472,704/461,896
  6. Step 6: Final answer
    x = 2,132,859.94

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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.