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Finding the Third Proportional to 414,470.67 and 907,844.20

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Solution

The third proportional to 414,470.67 and 907,844.20 is: 1,988,514.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,470.67 : 907,844.20 = 907,844.20 : x
  2. Step 2: Convert to fraction form
    414,470.67/907,844.20 = 907,844.20/x
  3. Step 3: Cross multiply
    414,470.67x = 907,844.20 × 907,844.20
  4. Step 4: Simplify right side
    414,470.67x = 824,181,097,147.67
  5. Step 5: Solve for x
    x = 824,181,097,147.67/414,470.67
  6. Step 6: Final answer
    x = 1,988,514.88

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