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Finding the Third Proportional to 2,711,902 and 4,102,843

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Solution

The third proportional to 2,711,902 and 4,102,843 is: 6,207,200.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711,902 : 4,102,843 = 4,102,843 : x
  2. Step 2: Convert to fraction form
    2,711,902/4,102,843 = 4,102,843/x
  3. Step 3: Cross multiply
    2,711,902x = 4,102,843 × 4,102,843
  4. Step 4: Simplify right side
    2,711,902x = 16,833,320,682,649
  5. Step 5: Solve for x
    x = 16,833,320,682,649/2,711,902
  6. Step 6: Final answer
    x = 6,207,200.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.