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Finding the Third Proportional to 2,147,291 and 4,680,400

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Solution

The third proportional to 2,147,291 and 4,680,400 is: 10,201,758.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147,291 : 4,680,400 = 4,680,400 : x
  2. Step 2: Convert to fraction form
    2,147,291/4,680,400 = 4,680,400/x
  3. Step 3: Cross multiply
    2,147,291x = 4,680,400 × 4,680,400
  4. Step 4: Simplify right side
    2,147,291x = 21,906,144,160,000
  5. Step 5: Solve for x
    x = 21,906,144,160,000/2,147,291
  6. Step 6: Final answer
    x = 10,201,758.48

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.