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Finding the Third Proportional to 1,083,785.06 and 1,687,721.06

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Solution

The third proportional to 1,083,785.06 and 1,687,721.06 is: 2,628,198.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083,785.06 : 1,687,721.06 = 1,687,721.06 : x
  2. Step 2: Convert to fraction form
    1,083,785.06/1,687,721.06 = 1,687,721.06/x
  3. Step 3: Cross multiply
    1,083,785.06x = 1,687,721.06 × 1,687,721.06
  4. Step 4: Simplify right side
    1,083,785.06x = 2,848,402,384,806.13
  5. Step 5: Solve for x
    x = 2,848,402,384,806.13/1,083,785.06
  6. Step 6: Final answer
    x = 2,628,198.60

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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.