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Finding the Third Proportional to 457,470 and 1,008,012

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Solution

The third proportional to 457,470 and 1,008,012 is: 2,221,103.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,470 : 1,008,012 = 1,008,012 : x
  2. Step 2: Convert to fraction form
    457,470/1,008,012 = 1,008,012/x
  3. Step 3: Cross multiply
    457,470x = 1,008,012 × 1,008,012
  4. Step 4: Simplify right side
    457,470x = 1,016,088,192,144
  5. Step 5: Solve for x
    x = 1,016,088,192,144/457,470
  6. Step 6: Final answer
    x = 2,221,103.44

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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.