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Finding the Third Proportional to 1,083,121.13 and 1,686,789.38

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Solution

The third proportional to 1,083,121.13 and 1,686,789.38 is: 2,626,906.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083,121.13 : 1,686,789.38 = 1,686,789.38 : x
  2. Step 2: Convert to fraction form
    1,083,121.13/1,686,789.38 = 1,686,789.38/x
  3. Step 3: Cross multiply
    1,083,121.13x = 1,686,789.38 × 1,686,789.38
  4. Step 4: Simplify right side
    1,083,121.13x = 2,845,258,395,612.89
  5. Step 5: Solve for x
    x = 2,845,258,395,612.89/1,083,121.13
  6. Step 6: Final answer
    x = 2,626,906.94

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.