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Finding the Third Proportional to 461,437 and 996,475

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Solution

The third proportional to 461,437 and 996,475 is: 2,151,891.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,437 : 996,475 = 996,475 : x
  2. Step 2: Convert to fraction form
    461,437/996,475 = 996,475/x
  3. Step 3: Cross multiply
    461,437x = 996,475 × 996,475
  4. Step 4: Simplify right side
    461,437x = 992,962,425,625
  5. Step 5: Solve for x
    x = 992,962,425,625/461,437
  6. Step 6: Final answer
    x = 2,151,891.65

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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.