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Finding the Third Proportional to 412,281 and 891,189

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Solution

The third proportional to 412,281 and 891,189 is: 1,926,399.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,281 : 891,189 = 891,189 : x
  2. Step 2: Convert to fraction form
    412,281/891,189 = 891,189/x
  3. Step 3: Cross multiply
    412,281x = 891,189 × 891,189
  4. Step 4: Simplify right side
    412,281x = 794,217,833,721
  5. Step 5: Solve for x
    x = 794,217,833,721/412,281
  6. Step 6: Final answer
    x = 1,926,399.31

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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.