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Finding the Third Proportional to 1,103,285.25 and 1,687,034.25

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Solution

The third proportional to 1,103,285.25 and 1,687,034.25 is: 2,579,645.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103,285.25 : 1,687,034.25 = 1,687,034.25 : x
  2. Step 2: Convert to fraction form
    1,103,285.25/1,687,034.25 = 1,687,034.25/x
  3. Step 3: Cross multiply
    1,103,285.25x = 1,687,034.25 × 1,687,034.25
  4. Step 4: Simplify right side
    1,103,285.25x = 2,846,084,560,673.06
  5. Step 5: Solve for x
    x = 2,846,084,560,673.06/1,103,285.25
  6. Step 6: Final answer
    x = 2,579,645.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.