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Finding the Third Proportional to 2,857,159 and 3,880,329

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Solution

The third proportional to 2,857,159 and 3,880,329 is: 5,269,903.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857,159 : 3,880,329 = 3,880,329 : x
  2. Step 2: Convert to fraction form
    2,857,159/3,880,329 = 3,880,329/x
  3. Step 3: Cross multiply
    2,857,159x = 3,880,329 × 3,880,329
  4. Step 4: Simplify right side
    2,857,159x = 15,056,953,148,241
  5. Step 5: Solve for x
    x = 15,056,953,148,241/2,857,159
  6. Step 6: Final answer
    x = 5,269,903.83

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.