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Finding the Third Proportional to 1,016,218 and 2,209,586

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Solution

The third proportional to 1,016,218 and 2,209,586 is: 4,804,353.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016,218 : 2,209,586 = 2,209,586 : x
  2. Step 2: Convert to fraction form
    1,016,218/2,209,586 = 2,209,586/x
  3. Step 3: Cross multiply
    1,016,218x = 2,209,586 × 2,209,586
  4. Step 4: Simplify right side
    1,016,218x = 4,882,270,291,396
  5. Step 5: Solve for x
    x = 4,882,270,291,396/1,016,218
  6. Step 6: Final answer
    x = 4,804,353.29

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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.