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Finding the Third Proportional to 1,412,388 and 2,121,741

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Solution

The third proportional to 1,412,388 and 2,121,741 is: 3,187,357.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412,388 : 2,121,741 = 2,121,741 : x
  2. Step 2: Convert to fraction form
    1,412,388/2,121,741 = 2,121,741/x
  3. Step 3: Cross multiply
    1,412,388x = 2,121,741 × 2,121,741
  4. Step 4: Simplify right side
    1,412,388x = 4,501,784,871,081
  5. Step 5: Solve for x
    x = 4,501,784,871,081/1,412,388
  6. Step 6: Final answer
    x = 3,187,357.07

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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.