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Finding the Third Proportional to 1,642,756 and 2,407,206

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Solution

The third proportional to 1,642,756 and 2,407,206 is: 3,527,389.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642,756 : 2,407,206 = 2,407,206 : x
  2. Step 2: Convert to fraction form
    1,642,756/2,407,206 = 2,407,206/x
  3. Step 3: Cross multiply
    1,642,756x = 2,407,206 × 2,407,206
  4. Step 4: Simplify right side
    1,642,756x = 5,794,640,726,436
  5. Step 5: Solve for x
    x = 5,794,640,726,436/1,642,756
  6. Step 6: Final answer
    x = 3,527,389.78

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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.