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Finding the Third Proportional to 729,408 and 1,516,800

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Solution

The third proportional to 729,408 and 1,516,800 is: 3,154,177.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,408 : 1,516,800 = 1,516,800 : x
  2. Step 2: Convert to fraction form
    729,408/1,516,800 = 1,516,800/x
  3. Step 3: Cross multiply
    729,408x = 1,516,800 × 1,516,800
  4. Step 4: Simplify right side
    729,408x = 2,300,682,240,000
  5. Step 5: Solve for x
    x = 2,300,682,240,000/729,408
  6. Step 6: Final answer
    x = 3,154,177.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.