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Finding the Third Proportional to 3,333,321 and 4,719,721

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Solution

The third proportional to 3,333,321 and 4,719,721 is: 6,682,754.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,333,321 : 4,719,721 = 4,719,721 : x
  2. Step 2: Convert to fraction form
    3,333,321/4,719,721 = 4,719,721/x
  3. Step 3: Cross multiply
    3,333,321x = 4,719,721 × 4,719,721
  4. Step 4: Simplify right side
    3,333,321x = 22,275,766,317,841
  5. Step 5: Solve for x
    x = 22,275,766,317,841/3,333,321
  6. Step 6: Final answer
    x = 6,682,754.62

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.