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Finding the Third Proportional to 2,115,382 and 4,567,380

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Solution

The third proportional to 2,115,382 and 4,567,380 is: 9,861,556.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115,382 : 4,567,380 = 4,567,380 : x
  2. Step 2: Convert to fraction form
    2,115,382/4,567,380 = 4,567,380/x
  3. Step 3: Cross multiply
    2,115,382x = 4,567,380 × 4,567,380
  4. Step 4: Simplify right side
    2,115,382x = 20,860,960,064,400
  5. Step 5: Solve for x
    x = 20,860,960,064,400/2,115,382
  6. Step 6: Final answer
    x = 9,861,556.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.