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Finding the Third Proportional to 465,614 and 1,016,521

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Solution

The third proportional to 465,614 and 1,016,521 is: 2,219,252.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,614 : 1,016,521 = 1,016,521 : x
  2. Step 2: Convert to fraction form
    465,614/1,016,521 = 1,016,521/x
  3. Step 3: Cross multiply
    465,614x = 1,016,521 × 1,016,521
  4. Step 4: Simplify right side
    465,614x = 1,033,314,943,441
  5. Step 5: Solve for x
    x = 1,033,314,943,441/465,614
  6. Step 6: Final answer
    x = 2,219,252.31

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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.