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Finding the Third Proportional to 904,257 and 1,231,449.75

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Solution

The third proportional to 904,257 and 1,231,449.75 is: 1,677,032.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,257 : 1,231,449.75 = 1,231,449.75 : x
  2. Step 2: Convert to fraction form
    904,257/1,231,449.75 = 1,231,449.75/x
  3. Step 3: Cross multiply
    904,257x = 1,231,449.75 × 1,231,449.75
  4. Step 4: Simplify right side
    904,257x = 1,516,468,486,775.06
  5. Step 5: Solve for x
    x = 1,516,468,486,775.06/904,257
  6. Step 6: Final answer
    x = 1,677,032.62

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.