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Finding the Third Proportional to 2,074,169 and 3,111,309

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Solution

The third proportional to 2,074,169 and 3,111,309 is: 4,667,046.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074,169 : 3,111,309 = 3,111,309 : x
  2. Step 2: Convert to fraction form
    2,074,169/3,111,309 = 3,111,309/x
  3. Step 3: Cross multiply
    2,074,169x = 3,111,309 × 3,111,309
  4. Step 4: Simplify right side
    2,074,169x = 9,680,243,693,481
  5. Step 5: Solve for x
    x = 9,680,243,693,481/2,074,169
  6. Step 6: Final answer
    x = 4,667,046.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.