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Finding the Third Proportional to 2,309,424 and 3,326,643

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Solution

The third proportional to 2,309,424 and 3,326,643 is: 4,791,910.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309,424 : 3,326,643 = 3,326,643 : x
  2. Step 2: Convert to fraction form
    2,309,424/3,326,643 = 3,326,643/x
  3. Step 3: Cross multiply
    2,309,424x = 3,326,643 × 3,326,643
  4. Step 4: Simplify right side
    2,309,424x = 11,066,553,649,449
  5. Step 5: Solve for x
    x = 11,066,553,649,449/2,309,424
  6. Step 6: Final answer
    x = 4,791,910.73

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.