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Finding the Third Proportional to 457,481 and 1,008,034

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Solution

The third proportional to 457,481 and 1,008,034 is: 2,221,146.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,481 : 1,008,034 = 1,008,034 : x
  2. Step 2: Convert to fraction form
    457,481/1,008,034 = 1,008,034/x
  3. Step 3: Cross multiply
    457,481x = 1,008,034 × 1,008,034
  4. Step 4: Simplify right side
    457,481x = 1,016,132,545,156
  5. Step 5: Solve for x
    x = 1,016,132,545,156/457,481
  6. Step 6: Final answer
    x = 2,221,146.99

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.