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Finding the Third Proportional to 452,651 and 992,350

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Solution

The third proportional to 452,651 and 992,350 is: 2,175,535.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,651 : 992,350 = 992,350 : x
  2. Step 2: Convert to fraction form
    452,651/992,350 = 992,350/x
  3. Step 3: Cross multiply
    452,651x = 992,350 × 992,350
  4. Step 4: Simplify right side
    452,651x = 984,758,522,500
  5. Step 5: Solve for x
    x = 984,758,522,500/452,651
  6. Step 6: Final answer
    x = 2,175,535.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.