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Finding the Third Proportional to 455,902.88 and 992,080.13

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Solution

The third proportional to 455,902.88 and 992,080.13 is: 2,158,843.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,902.88 : 992,080.13 = 992,080.13 : x
  2. Step 2: Convert to fraction form
    455,902.88/992,080.13 = 992,080.13/x
  3. Step 3: Cross multiply
    455,902.88x = 992,080.13 × 992,080.13
  4. Step 4: Simplify right side
    455,902.88x = 984,222,974,420.02
  5. Step 5: Solve for x
    x = 984,222,974,420.02/455,902.88
  6. Step 6: Final answer
    x = 2,158,843.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.