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Finding the Third Proportional to 462,456 and 1,008,947.25

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Solution

The third proportional to 462,456 and 1,008,947.25 is: 2,201,235.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,456 : 1,008,947.25 = 1,008,947.25 : x
  2. Step 2: Convert to fraction form
    462,456/1,008,947.25 = 1,008,947.25/x
  3. Step 3: Cross multiply
    462,456x = 1,008,947.25 × 1,008,947.25
  4. Step 4: Simplify right side
    462,456x = 1,017,974,553,282.56
  5. Step 5: Solve for x
    x = 1,017,974,553,282.56/462,456
  6. Step 6: Final answer
    x = 2,201,235.48

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.