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Finding the Third Proportional to 3,141,846 and 4,835,241

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Solution

The third proportional to 3,141,846 and 4,835,241 is: 7,441,343.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141,846 : 4,835,241 = 4,835,241 : x
  2. Step 2: Convert to fraction form
    3,141,846/4,835,241 = 4,835,241/x
  3. Step 3: Cross multiply
    3,141,846x = 4,835,241 × 4,835,241
  4. Step 4: Simplify right side
    3,141,846x = 23,379,555,528,081
  5. Step 5: Solve for x
    x = 23,379,555,528,081/3,141,846
  6. Step 6: Final answer
    x = 7,441,343.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.