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Finding the Third Proportional to 685,339.31 and 1,485,086.06

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Solution

The third proportional to 685,339.31 and 1,485,086.06 is: 3,218,085.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,339.31 : 1,485,086.06 = 1,485,086.06 : x
  2. Step 2: Convert to fraction form
    685,339.31/1,485,086.06 = 1,485,086.06/x
  3. Step 3: Cross multiply
    685,339.31x = 1,485,086.06 × 1,485,086.06
  4. Step 4: Simplify right side
    685,339.31x = 2,205,480,613,031.75
  5. Step 5: Solve for x
    x = 2,205,480,613,031.75/685,339.31
  6. Step 6: Final answer
    x = 3,218,085.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.