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Finding the Third Proportional to 3,458,791.76 and 4,927,118.78

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Solution

The third proportional to 3,458,791.76 and 4,927,118.78 is: 7,018,780.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458,791.76 : 4,927,118.78 = 4,927,118.78 : x
  2. Step 2: Convert to fraction form
    3,458,791.76/4,927,118.78 = 4,927,118.78/x
  3. Step 3: Cross multiply
    3,458,791.76x = 4,927,118.78 × 4,927,118.78
  4. Step 4: Simplify right side
    3,458,791.76x = 24,276,499,503,793.79
  5. Step 5: Solve for x
    x = 24,276,499,503,793.79/3,458,791.76
  6. Step 6: Final answer
    x = 7,018,780.32

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.