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Finding the Third Proportional to 3,884,910 and 6,094,251

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Solution

The third proportional to 3,884,910 and 6,094,251 is: 9,560,040.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884,910 : 6,094,251 = 6,094,251 : x
  2. Step 2: Convert to fraction form
    3,884,910/6,094,251 = 6,094,251/x
  3. Step 3: Cross multiply
    3,884,910x = 6,094,251 × 6,094,251
  4. Step 4: Simplify right side
    3,884,910x = 37,139,895,251,001
  5. Step 5: Solve for x
    x = 37,139,895,251,001/3,884,910
  6. Step 6: Final answer
    x = 9,560,040.07

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.