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Finding the Third Proportional to 1,949,467.31 and 4,347,180.38

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Solution

The third proportional to 1,949,467.31 and 4,347,180.38 is: 9,693,918.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949,467.31 : 4,347,180.38 = 4,347,180.38 : x
  2. Step 2: Convert to fraction form
    1,949,467.31/4,347,180.38 = 4,347,180.38/x
  3. Step 3: Cross multiply
    1,949,467.31x = 4,347,180.38 × 4,347,180.38
  4. Step 4: Simplify right side
    1,949,467.31x = 18,897,977,212,785.14
  5. Step 5: Solve for x
    x = 18,897,977,212,785.14/1,949,467.31
  6. Step 6: Final answer
    x = 9,693,918.48

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.