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Finding the Third Proportional to 456,467.91 and 992,282.91

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Solution

The third proportional to 456,467.91 and 992,282.91 is: 2,157,052.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,467.91 : 992,282.91 = 992,282.91 : x
  2. Step 2: Convert to fraction form
    456,467.91/992,282.91 = 992,282.91/x
  3. Step 3: Cross multiply
    456,467.91x = 992,282.91 × 992,282.91
  4. Step 4: Simplify right side
    456,467.91x = 984,625,366,035.95
  5. Step 5: Solve for x
    x = 984,625,366,035.95/456,467.91
  6. Step 6: Final answer
    x = 2,157,052.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.