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Finding the Third Proportional to 871,175.25 and 1,319,895

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Solution

The third proportional to 871,175.25 and 1,319,895 is: 1,999,738.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,175.25 : 1,319,895 = 1,319,895 : x
  2. Step 2: Convert to fraction form
    871,175.25/1,319,895 = 1,319,895/x
  3. Step 3: Cross multiply
    871,175.25x = 1,319,895 × 1,319,895
  4. Step 4: Simplify right side
    871,175.25x = 1,742,122,811,025
  5. Step 5: Solve for x
    x = 1,742,122,811,025/871,175.25
  6. Step 6: Final answer
    x = 1,999,738.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.