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Finding the Third Proportional to 2,133,468 and 4,665,452

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Solution

The third proportional to 2,133,468 and 4,665,452 is: 10,202,375.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133,468 : 4,665,452 = 4,665,452 : x
  2. Step 2: Convert to fraction form
    2,133,468/4,665,452 = 4,665,452/x
  3. Step 3: Cross multiply
    2,133,468x = 4,665,452 × 4,665,452
  4. Step 4: Simplify right side
    2,133,468x = 21,766,442,364,304
  5. Step 5: Solve for x
    x = 21,766,442,364,304/2,133,468
  6. Step 6: Final answer
    x = 10,202,375.83

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.