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Finding the Third Proportional to 871,952 and 1,171,767

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Solution

The third proportional to 871,952 and 1,171,767 is: 1,574,671.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,952 : 1,171,767 = 1,171,767 : x
  2. Step 2: Convert to fraction form
    871,952/1,171,767 = 1,171,767/x
  3. Step 3: Cross multiply
    871,952x = 1,171,767 × 1,171,767
  4. Step 4: Simplify right side
    871,952x = 1,373,037,902,289
  5. Step 5: Solve for x
    x = 1,373,037,902,289/871,952
  6. Step 6: Final answer
    x = 1,574,671.43

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.