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Finding the Third Proportional to 457,482 and 1,008,036

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Solution

The third proportional to 457,482 and 1,008,036 is: 2,221,150.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,482 : 1,008,036 = 1,008,036 : x
  2. Step 2: Convert to fraction form
    457,482/1,008,036 = 1,008,036/x
  3. Step 3: Cross multiply
    457,482x = 1,008,036 × 1,008,036
  4. Step 4: Simplify right side
    457,482x = 1,016,136,577,296
  5. Step 5: Solve for x
    x = 1,016,136,577,296/457,482
  6. Step 6: Final answer
    x = 2,221,150.95

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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.