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Finding the Third Proportional to 3,452,234 and 5,178,348

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Solution

The third proportional to 3,452,234 and 5,178,348 is: 7,767,517.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452,234 : 5,178,348 = 5,178,348 : x
  2. Step 2: Convert to fraction form
    3,452,234/5,178,348 = 5,178,348/x
  3. Step 3: Cross multiply
    3,452,234x = 5,178,348 × 5,178,348
  4. Step 4: Simplify right side
    3,452,234x = 26,815,288,009,104
  5. Step 5: Solve for x
    x = 26,815,288,009,104/3,452,234
  6. Step 6: Final answer
    x = 7,767,517.50

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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.