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Finding the Third Proportional to 2,282,921 and 3,427,385

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Solution

The third proportional to 2,282,921 and 3,427,385 is: 5,145,586.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282,921 : 3,427,385 = 3,427,385 : x
  2. Step 2: Convert to fraction form
    2,282,921/3,427,385 = 3,427,385/x
  3. Step 3: Cross multiply
    2,282,921x = 3,427,385 × 3,427,385
  4. Step 4: Simplify right side
    2,282,921x = 11,746,967,938,225
  5. Step 5: Solve for x
    x = 11,746,967,938,225/2,282,921
  6. Step 6: Final answer
    x = 5,145,586.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.