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Finding the Third Proportional to 457,894.50 and 1,007,142

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Solution

The third proportional to 457,894.50 and 1,007,142 is: 2,215,215.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,894.50 : 1,007,142 = 1,007,142 : x
  2. Step 2: Convert to fraction form
    457,894.50/1,007,142 = 1,007,142/x
  3. Step 3: Cross multiply
    457,894.50x = 1,007,142 × 1,007,142
  4. Step 4: Simplify right side
    457,894.50x = 1,014,335,008,164
  5. Step 5: Solve for x
    x = 1,014,335,008,164/457,894.50
  6. Step 6: Final answer
    x = 2,215,215.53

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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.