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Finding the Third Proportional to 1,760,644.31 and 3,858,815.44

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Solution

The third proportional to 1,760,644.31 and 3,858,815.44 is: 8,457,390.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760,644.31 : 3,858,815.44 = 3,858,815.44 : x
  2. Step 2: Convert to fraction form
    1,760,644.31/3,858,815.44 = 3,858,815.44/x
  3. Step 3: Cross multiply
    1,760,644.31x = 3,858,815.44 × 3,858,815.44
  4. Step 4: Simplify right side
    1,760,644.31x = 14,890,456,580,688.32
  5. Step 5: Solve for x
    x = 14,890,456,580,688.32/1,760,644.31
  6. Step 6: Final answer
    x = 8,457,390.56

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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.