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Finding the Third Proportional to 3,682,184 and 4,974,860

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Solution

The third proportional to 3,682,184 and 4,974,860 is: 6,721,345.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682,184 : 4,974,860 = 4,974,860 : x
  2. Step 2: Convert to fraction form
    3,682,184/4,974,860 = 4,974,860/x
  3. Step 3: Cross multiply
    3,682,184x = 4,974,860 × 4,974,860
  4. Step 4: Simplify right side
    3,682,184x = 24,749,232,019,600
  5. Step 5: Solve for x
    x = 24,749,232,019,600/3,682,184
  6. Step 6: Final answer
    x = 6,721,345.82

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.