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Finding the Third Proportional to 1,211,598 and 1,900,809

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Solution

The third proportional to 1,211,598 and 1,900,809 is: 2,982,073.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211,598 : 1,900,809 = 1,900,809 : x
  2. Step 2: Convert to fraction form
    1,211,598/1,900,809 = 1,900,809/x
  3. Step 3: Cross multiply
    1,211,598x = 1,900,809 × 1,900,809
  4. Step 4: Simplify right side
    1,211,598x = 3,613,074,854,481
  5. Step 5: Solve for x
    x = 3,613,074,854,481/1,211,598
  6. Step 6: Final answer
    x = 2,982,073.97

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.