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Finding the Third Proportional to 1,202,862 and 1,589,967

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Solution

The third proportional to 1,202,862 and 1,589,967 is: 2,101,650.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202,862 : 1,589,967 = 1,589,967 : x
  2. Step 2: Convert to fraction form
    1,202,862/1,589,967 = 1,589,967/x
  3. Step 3: Cross multiply
    1,202,862x = 1,589,967 × 1,589,967
  4. Step 4: Simplify right side
    1,202,862x = 2,527,995,061,089
  5. Step 5: Solve for x
    x = 2,527,995,061,089/1,202,862
  6. Step 6: Final answer
    x = 2,101,650.12

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.