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Finding the Third Proportional to 469,132.59 and 1,024,287.61

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Solution

The third proportional to 469,132.59 and 1,024,287.61 is: 2,236,393.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,132.59 : 1,024,287.61 = 1,024,287.61 : x
  2. Step 2: Convert to fraction form
    469,132.59/1,024,287.61 = 1,024,287.61/x
  3. Step 3: Cross multiply
    469,132.59x = 1,024,287.61 × 1,024,287.61
  4. Step 4: Simplify right side
    469,132.59x = 1,049,165,106,719.15
  5. Step 5: Solve for x
    x = 1,049,165,106,719.15/469,132.59
  6. Step 6: Final answer
    x = 2,236,393.55

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