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Finding the Third Proportional to 1,107,684 and 2,420,388

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Solution

The third proportional to 1,107,684 and 2,420,388 is: 5,288,762.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107,684 : 2,420,388 = 2,420,388 : x
  2. Step 2: Convert to fraction form
    1,107,684/2,420,388 = 2,420,388/x
  3. Step 3: Cross multiply
    1,107,684x = 2,420,388 × 2,420,388
  4. Step 4: Simplify right side
    1,107,684x = 5,858,278,070,544
  5. Step 5: Solve for x
    x = 5,858,278,070,544/1,107,684
  6. Step 6: Final answer
    x = 5,288,762.92

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Why These Related Problems?

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