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Finding the Third Proportional to 1,085,713 and 2,350,142

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Solution

The third proportional to 1,085,713 and 2,350,142 is: 5,087,133.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085,713 : 2,350,142 = 2,350,142 : x
  2. Step 2: Convert to fraction form
    1,085,713/2,350,142 = 2,350,142/x
  3. Step 3: Cross multiply
    1,085,713x = 2,350,142 × 2,350,142
  4. Step 4: Simplify right side
    1,085,713x = 5,523,167,420,164
  5. Step 5: Solve for x
    x = 5,523,167,420,164/1,085,713
  6. Step 6: Final answer
    x = 5,087,133.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.