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Finding the Third Proportional to 3,644,286 and 5,657,427

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Solution

The third proportional to 3,644,286 and 5,657,427 is: 8,782,647.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644,286 : 5,657,427 = 5,657,427 : x
  2. Step 2: Convert to fraction form
    3,644,286/5,657,427 = 5,657,427/x
  3. Step 3: Cross multiply
    3,644,286x = 5,657,427 × 5,657,427
  4. Step 4: Simplify right side
    3,644,286x = 32,006,480,260,329
  5. Step 5: Solve for x
    x = 32,006,480,260,329/3,644,286
  6. Step 6: Final answer
    x = 8,782,647.76

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.