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Finding the Third Proportional to 759,600 and 1,175,791.50

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Solution

The third proportional to 759,600 and 1,175,791.50 is: 1,820,017.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,600 : 1,175,791.50 = 1,175,791.50 : x
  2. Step 2: Convert to fraction form
    759,600/1,175,791.50 = 1,175,791.50/x
  3. Step 3: Cross multiply
    759,600x = 1,175,791.50 × 1,175,791.50
  4. Step 4: Simplify right side
    759,600x = 1,382,485,651,472.25
  5. Step 5: Solve for x
    x = 1,382,485,651,472.25/759,600
  6. Step 6: Final answer
    x = 1,820,017.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.