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Finding the Third Proportional to 610,426.13 and 897,996.38

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Solution

The third proportional to 610,426.13 and 897,996.38 is: 1,321,040.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,426.13 : 897,996.38 = 897,996.38 : x
  2. Step 2: Convert to fraction form
    610,426.13/897,996.38 = 897,996.38/x
  3. Step 3: Cross multiply
    610,426.13x = 897,996.38 × 897,996.38
  4. Step 4: Simplify right side
    610,426.13x = 806,397,489,513.14
  5. Step 5: Solve for x
    x = 806,397,489,513.14/610,426.13
  6. Step 6: Final answer
    x = 1,321,040.26

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Why These Related Problems?

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