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Finding the Third Proportional to 461,313 and 991,602

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Solution

The third proportional to 461,313 and 991,602 is: 2,131,469.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,313 : 991,602 = 991,602 : x
  2. Step 2: Convert to fraction form
    461,313/991,602 = 991,602/x
  3. Step 3: Cross multiply
    461,313x = 991,602 × 991,602
  4. Step 4: Simplify right side
    461,313x = 983,274,526,404
  5. Step 5: Solve for x
    x = 983,274,526,404/461,313
  6. Step 6: Final answer
    x = 2,131,469.36

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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.