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Finding the Third Proportional to 2,115,384 and 4,567,384

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Solution

The third proportional to 2,115,384 and 4,567,384 is: 9,861,564.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115,384 : 4,567,384 = 4,567,384 : x
  2. Step 2: Convert to fraction form
    2,115,384/4,567,384 = 4,567,384/x
  3. Step 3: Cross multiply
    2,115,384x = 4,567,384 × 4,567,384
  4. Step 4: Simplify right side
    2,115,384x = 20,860,996,603,456
  5. Step 5: Solve for x
    x = 20,860,996,603,456/2,115,384
  6. Step 6: Final answer
    x = 9,861,564.90

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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.