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Finding the Third Proportional to 461,313 and 998,442

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Solution

The third proportional to 461,313 and 998,442 is: 2,160,976.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,313 : 998,442 = 998,442 : x
  2. Step 2: Convert to fraction form
    461,313/998,442 = 998,442/x
  3. Step 3: Cross multiply
    461,313x = 998,442 × 998,442
  4. Step 4: Simplify right side
    461,313x = 996,886,427,364
  5. Step 5: Solve for x
    x = 996,886,427,364/461,313
  6. Step 6: Final answer
    x = 2,160,976.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.