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Finding the Third Proportional to 1,984,821 and 4,305,711

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Solution

The third proportional to 1,984,821 and 4,305,711 is: 9,340,463.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984,821 : 4,305,711 = 4,305,711 : x
  2. Step 2: Convert to fraction form
    1,984,821/4,305,711 = 4,305,711/x
  3. Step 3: Cross multiply
    1,984,821x = 4,305,711 × 4,305,711
  4. Step 4: Simplify right side
    1,984,821x = 18,539,147,215,521
  5. Step 5: Solve for x
    x = 18,539,147,215,521/1,984,821
  6. Step 6: Final answer
    x = 9,340,463.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.