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Finding the Third Proportional to 457,485 and 1,008,042

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Solution

The third proportional to 457,485 and 1,008,042 is: 2,221,162.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,485 : 1,008,042 = 1,008,042 : x
  2. Step 2: Convert to fraction form
    457,485/1,008,042 = 1,008,042/x
  3. Step 3: Cross multiply
    457,485x = 1,008,042 × 1,008,042
  4. Step 4: Simplify right side
    457,485x = 1,016,148,673,764
  5. Step 5: Solve for x
    x = 1,016,148,673,764/457,485
  6. Step 6: Final answer
    x = 2,221,162.82

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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.