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Finding the Third Proportional to 2,854,251 and 5,988,745.13

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Solution

The third proportional to 2,854,251 and 5,988,745.13 is: 12,565,492.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854,251 : 5,988,745.13 = 5,988,745.13 : x
  2. Step 2: Convert to fraction form
    2,854,251/5,988,745.13 = 5,988,745.13/x
  3. Step 3: Cross multiply
    2,854,251x = 5,988,745.13 × 5,988,745.13
  4. Step 4: Simplify right side
    2,854,251x = 35,865,068,172,211.27
  5. Step 5: Solve for x
    x = 35,865,068,172,211.27/2,854,251
  6. Step 6: Final answer
    x = 12,565,492.02

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.