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Finding the Third Proportional to 1,016,214 and 2,209,578

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Solution

The third proportional to 1,016,214 and 2,209,578 is: 4,804,337.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016,214 : 2,209,578 = 2,209,578 : x
  2. Step 2: Convert to fraction form
    1,016,214/2,209,578 = 2,209,578/x
  3. Step 3: Cross multiply
    1,016,214x = 2,209,578 × 2,209,578
  4. Step 4: Simplify right side
    1,016,214x = 4,882,234,938,084
  5. Step 5: Solve for x
    x = 4,882,234,938,084/1,016,214
  6. Step 6: Final answer
    x = 4,804,337.41

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.