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Finding the Third Proportional to 1,241,829 and 1,821,847

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Solution

The third proportional to 1,241,829 and 1,821,847 is: 2,672,772.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241,829 : 1,821,847 = 1,821,847 : x
  2. Step 2: Convert to fraction form
    1,241,829/1,821,847 = 1,821,847/x
  3. Step 3: Cross multiply
    1,241,829x = 1,821,847 × 1,821,847
  4. Step 4: Simplify right side
    1,241,829x = 3,319,126,491,409
  5. Step 5: Solve for x
    x = 3,319,126,491,409/1,241,829
  6. Step 6: Final answer
    x = 2,672,772.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.