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Finding the Third Proportional to 2,701,701 and 4,108,251

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Solution

The third proportional to 2,701,701 and 4,108,251 is: 6,247,074.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701,701 : 4,108,251 = 4,108,251 : x
  2. Step 2: Convert to fraction form
    2,701,701/4,108,251 = 4,108,251/x
  3. Step 3: Cross multiply
    2,701,701x = 4,108,251 × 4,108,251
  4. Step 4: Simplify right side
    2,701,701x = 16,877,726,279,001
  5. Step 5: Solve for x
    x = 16,877,726,279,001/2,701,701
  6. Step 6: Final answer
    x = 6,247,074.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.