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Finding the Third Proportional to 1,760,314.78 and 3,856,979.53

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Solution

The third proportional to 1,760,314.78 and 3,856,979.53 is: 8,450,926.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760,314.78 : 3,856,979.53 = 3,856,979.53 : x
  2. Step 2: Convert to fraction form
    1,760,314.78/3,856,979.53 = 3,856,979.53/x
  3. Step 3: Cross multiply
    1,760,314.78x = 3,856,979.53 × 3,856,979.53
  4. Step 4: Simplify right side
    1,760,314.78x = 14,876,291,104,481.47
  5. Step 5: Solve for x
    x = 14,876,291,104,481.47/1,760,314.78
  6. Step 6: Final answer
    x = 8,450,926.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.