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Finding the Third Proportional to 461,730 and 992,451

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Solution

The third proportional to 461,730 and 992,451 is: 2,133,192.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,730 : 992,451 = 992,451 : x
  2. Step 2: Convert to fraction form
    461,730/992,451 = 992,451/x
  3. Step 3: Cross multiply
    461,730x = 992,451 × 992,451
  4. Step 4: Simplify right side
    461,730x = 984,958,987,401
  5. Step 5: Solve for x
    x = 984,958,987,401/461,730
  6. Step 6: Final answer
    x = 2,133,192.53

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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.