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Finding the Third Proportional to 805,796 and 1,253,408

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Solution

The third proportional to 805,796 and 1,253,408 is: 1,949,664.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,796 : 1,253,408 = 1,253,408 : x
  2. Step 2: Convert to fraction form
    805,796/1,253,408 = 1,253,408/x
  3. Step 3: Cross multiply
    805,796x = 1,253,408 × 1,253,408
  4. Step 4: Simplify right side
    805,796x = 1,571,031,614,464
  5. Step 5: Solve for x
    x = 1,571,031,614,464/805,796
  6. Step 6: Final answer
    x = 1,949,664.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.