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Finding the Third Proportional to 681,599.25 and 1,433,709

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Solution

The third proportional to 681,599.25 and 1,433,709 is: 3,015,733.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,599.25 : 1,433,709 = 1,433,709 : x
  2. Step 2: Convert to fraction form
    681,599.25/1,433,709 = 1,433,709/x
  3. Step 3: Cross multiply
    681,599.25x = 1,433,709 × 1,433,709
  4. Step 4: Simplify right side
    681,599.25x = 2,055,521,496,681
  5. Step 5: Solve for x
    x = 2,055,521,496,681/681,599.25
  6. Step 6: Final answer
    x = 3,015,733.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.