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Finding the Third Proportional to 457,896 and 1,007,144

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Solution

The third proportional to 457,896 and 1,007,144 is: 2,215,217.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,896 : 1,007,144 = 1,007,144 : x
  2. Step 2: Convert to fraction form
    457,896/1,007,144 = 1,007,144/x
  3. Step 3: Cross multiply
    457,896x = 1,007,144 × 1,007,144
  4. Step 4: Simplify right side
    457,896x = 1,014,339,036,736
  5. Step 5: Solve for x
    x = 1,014,339,036,736/457,896
  6. Step 6: Final answer
    x = 2,215,217.07

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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.