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Finding the Third Proportional to 881,361 and 1,928,782.13

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Solution

The third proportional to 881,361 and 1,928,782.13 is: 4,220,972.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    881,361 : 1,928,782.13 = 1,928,782.13 : x
  2. Step 2: Convert to fraction form
    881,361/1,928,782.13 = 1,928,782.13/x
  3. Step 3: Cross multiply
    881,361x = 1,928,782.13 × 1,928,782.13
  4. Step 4: Simplify right side
    881,361x = 3,720,200,485,719.52
  5. Step 5: Solve for x
    x = 3,720,200,485,719.52/881,361
  6. Step 6: Final answer
    x = 4,220,972.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.