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Finding the Third Proportional to 1,214,190 and 1,781,919

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Solution

The third proportional to 1,214,190 and 1,781,919 is: 2,615,105.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,190 : 1,781,919 = 1,781,919 : x
  2. Step 2: Convert to fraction form
    1,214,190/1,781,919 = 1,781,919/x
  3. Step 3: Cross multiply
    1,214,190x = 1,781,919 × 1,781,919
  4. Step 4: Simplify right side
    1,214,190x = 3,175,235,322,561
  5. Step 5: Solve for x
    x = 3,175,235,322,561/1,214,190
  6. Step 6: Final answer
    x = 2,615,105.81

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.