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Finding the Third Proportional to 1,086,972.75 and 2,361,242.81

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Solution

The third proportional to 1,086,972.75 and 2,361,242.81 is: 5,129,353.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086,972.75 : 2,361,242.81 = 2,361,242.81 : x
  2. Step 2: Convert to fraction form
    1,086,972.75/2,361,242.81 = 2,361,242.81/x
  3. Step 3: Cross multiply
    1,086,972.75x = 2,361,242.81 × 2,361,242.81
  4. Step 4: Simplify right side
    1,086,972.75x = 5,575,467,619,582.91
  5. Step 5: Solve for x
    x = 5,575,467,619,582.91/1,086,972.75
  6. Step 6: Final answer
    x = 5,129,353.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.