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Finding the Third Proportional to 873,942 and 1,180,761

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Solution

The third proportional to 873,942 and 1,180,761 is: 1,595,296.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,942 : 1,180,761 = 1,180,761 : x
  2. Step 2: Convert to fraction form
    873,942/1,180,761 = 1,180,761/x
  3. Step 3: Cross multiply
    873,942x = 1,180,761 × 1,180,761
  4. Step 4: Simplify right side
    873,942x = 1,394,196,539,121
  5. Step 5: Solve for x
    x = 1,394,196,539,121/873,942
  6. Step 6: Final answer
    x = 1,595,296.41

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.