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Finding the Third Proportional to 1,984,826 and 4,305,722

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Solution

The third proportional to 1,984,826 and 4,305,722 is: 9,340,487.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984,826 : 4,305,722 = 4,305,722 : x
  2. Step 2: Convert to fraction form
    1,984,826/4,305,722 = 4,305,722/x
  3. Step 3: Cross multiply
    1,984,826x = 4,305,722 × 4,305,722
  4. Step 4: Simplify right side
    1,984,826x = 18,539,241,941,284
  5. Step 5: Solve for x
    x = 18,539,241,941,284/1,984,826
  6. Step 6: Final answer
    x = 9,340,487.25

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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.