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Finding the Third Proportional to 881,361 and 1,909,251

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Solution

The third proportional to 881,361 and 1,909,251 is: 4,135,920.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    881,361 : 1,909,251 = 1,909,251 : x
  2. Step 2: Convert to fraction form
    881,361/1,909,251 = 1,909,251/x
  3. Step 3: Cross multiply
    881,361x = 1,909,251 × 1,909,251
  4. Step 4: Simplify right side
    881,361x = 3,645,239,381,001
  5. Step 5: Solve for x
    x = 3,645,239,381,001/881,361
  6. Step 6: Final answer
    x = 4,135,920.90

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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.