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Finding the Third Proportional to 1,586,568 and 2,417,049

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Solution

The third proportional to 1,586,568 and 2,417,049 is: 3,682,241.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586,568 : 2,417,049 = 2,417,049 : x
  2. Step 2: Convert to fraction form
    1,586,568/2,417,049 = 2,417,049/x
  3. Step 3: Cross multiply
    1,586,568x = 2,417,049 × 2,417,049
  4. Step 4: Simplify right side
    1,586,568x = 5,842,125,868,401
  5. Step 5: Solve for x
    x = 5,842,125,868,401/1,586,568
  6. Step 6: Final answer
    x = 3,682,241.08

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.