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Finding the Third Proportional to 843,816.87 and 1,819,575.14

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Solution

The third proportional to 843,816.87 and 1,819,575.14 is: 3,923,663.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,816.87 : 1,819,575.14 = 1,819,575.14 : x
  2. Step 2: Convert to fraction form
    843,816.87/1,819,575.14 = 1,819,575.14/x
  3. Step 3: Cross multiply
    843,816.87x = 1,819,575.14 × 1,819,575.14
  4. Step 4: Simplify right side
    843,816.87x = 3,310,853,692,380.49
  5. Step 5: Solve for x
    x = 3,310,853,692,380.49/843,816.87
  6. Step 6: Final answer
    x = 3,923,663.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.