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Finding the Third Proportional to 465,625 and 1,016,543

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Solution

The third proportional to 465,625 and 1,016,543 is: 2,219,295.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,625 : 1,016,543 = 1,016,543 : x
  2. Step 2: Convert to fraction form
    465,625/1,016,543 = 1,016,543/x
  3. Step 3: Cross multiply
    465,625x = 1,016,543 × 1,016,543
  4. Step 4: Simplify right side
    465,625x = 1,033,359,670,849
  5. Step 5: Solve for x
    x = 1,033,359,670,849/465,625
  6. Step 6: Final answer
    x = 2,219,295.94

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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.