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Finding the Third Proportional to 871,536.59 and 1,273,859.16

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Solution

The third proportional to 871,536.59 and 1,273,859.16 is: 1,861,903.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,536.59 : 1,273,859.16 = 1,273,859.16 : x
  2. Step 2: Convert to fraction form
    871,536.59/1,273,859.16 = 1,273,859.16/x
  3. Step 3: Cross multiply
    871,536.59x = 1,273,859.16 × 1,273,859.16
  4. Step 4: Simplify right side
    871,536.59x = 1,622,717,149,961.96
  5. Step 5: Solve for x
    x = 1,622,717,149,961.96/871,536.59
  6. Step 6: Final answer
    x = 1,861,903.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.