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Finding the Third Proportional to 1,567,684.13 and 2,373,198.75

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Solution

The third proportional to 1,567,684.13 and 2,373,198.75 is: 3,592,606.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567,684.13 : 2,373,198.75 = 2,373,198.75 : x
  2. Step 2: Convert to fraction form
    1,567,684.13/2,373,198.75 = 2,373,198.75/x
  3. Step 3: Cross multiply
    1,567,684.13x = 2,373,198.75 × 2,373,198.75
  4. Step 4: Simplify right side
    1,567,684.13x = 5,632,072,307,001.56
  5. Step 5: Solve for x
    x = 5,632,072,307,001.56/1,567,684.13
  6. Step 6: Final answer
    x = 3,592,606.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.