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Finding the Third Proportional to 681,214.50 and 1,605,813

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Solution

The third proportional to 681,214.50 and 1,605,813 is: 3,785,350.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,214.50 : 1,605,813 = 1,605,813 : x
  2. Step 2: Convert to fraction form
    681,214.50/1,605,813 = 1,605,813/x
  3. Step 3: Cross multiply
    681,214.50x = 1,605,813 × 1,605,813
  4. Step 4: Simplify right side
    681,214.50x = 2,578,635,390,969
  5. Step 5: Solve for x
    x = 2,578,635,390,969/681,214.50
  6. Step 6: Final answer
    x = 3,785,350.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.