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Finding the Third Proportional to 3,452,177.25 and 5,178,269.25

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Solution

The third proportional to 3,452,177.25 and 5,178,269.25 is: 7,767,408.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452,177.25 : 5,178,269.25 = 5,178,269.25 : x
  2. Step 2: Convert to fraction form
    3,452,177.25/5,178,269.25 = 5,178,269.25/x
  3. Step 3: Cross multiply
    3,452,177.25x = 5,178,269.25 × 5,178,269.25
  4. Step 4: Simplify right side
    3,452,177.25x = 26,814,472,425,495.56
  5. Step 5: Solve for x
    x = 26,814,472,425,495.56/3,452,177.25
  6. Step 6: Final answer
    x = 7,767,408.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.