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Finding the Third Proportional to 2,593,214 and 3,805,741

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Solution

The third proportional to 2,593,214 and 3,805,741 is: 5,585,217.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593,214 : 3,805,741 = 3,805,741 : x
  2. Step 2: Convert to fraction form
    2,593,214/3,805,741 = 3,805,741/x
  3. Step 3: Cross multiply
    2,593,214x = 3,805,741 × 3,805,741
  4. Step 4: Simplify right side
    2,593,214x = 14,483,664,559,081
  5. Step 5: Solve for x
    x = 14,483,664,559,081/2,593,214
  6. Step 6: Final answer
    x = 5,585,217.63

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.