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Finding the Third Proportional to 1,132,751.25 and 1,715,578.31

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Solution

The third proportional to 1,132,751.25 and 1,715,578.31 is: 2,598,283.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132,751.25 : 1,715,578.31 = 1,715,578.31 : x
  2. Step 2: Convert to fraction form
    1,132,751.25/1,715,578.31 = 1,715,578.31/x
  3. Step 3: Cross multiply
    1,132,751.25x = 1,715,578.31 × 1,715,578.31
  4. Step 4: Simplify right side
    1,132,751.25x = 2,943,208,946,320.35
  5. Step 5: Solve for x
    x = 2,943,208,946,320.35/1,132,751.25
  6. Step 6: Final answer
    x = 2,598,283.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.