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Finding the Third Proportional to 1,039,214 and 2,428,074

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Solution

The third proportional to 1,039,214 and 2,428,074 is: 5,673,079.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039,214 : 2,428,074 = 2,428,074 : x
  2. Step 2: Convert to fraction form
    1,039,214/2,428,074 = 2,428,074/x
  3. Step 3: Cross multiply
    1,039,214x = 2,428,074 × 2,428,074
  4. Step 4: Simplify right side
    1,039,214x = 5,895,543,349,476
  5. Step 5: Solve for x
    x = 5,895,543,349,476/1,039,214
  6. Step 6: Final answer
    x = 5,673,079.22

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.