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Finding the Third Proportional to 871,086 and 1,875,633

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Solution

The third proportional to 871,086 and 1,875,633 is: 4,038,635.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,086 : 1,875,633 = 1,875,633 : x
  2. Step 2: Convert to fraction form
    871,086/1,875,633 = 1,875,633/x
  3. Step 3: Cross multiply
    871,086x = 1,875,633 × 1,875,633
  4. Step 4: Simplify right side
    871,086x = 3,517,999,150,689
  5. Step 5: Solve for x
    x = 3,517,999,150,689/871,086
  6. Step 6: Final answer
    x = 4,038,635.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.