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Finding the Third Proportional to 871,778 and 1,350,435

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Solution

The third proportional to 871,778 and 1,350,435 is: 2,091,902.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,778 : 1,350,435 = 1,350,435 : x
  2. Step 2: Convert to fraction form
    871,778/1,350,435 = 1,350,435/x
  3. Step 3: Cross multiply
    871,778x = 1,350,435 × 1,350,435
  4. Step 4: Simplify right side
    871,778x = 1,823,674,689,225
  5. Step 5: Solve for x
    x = 1,823,674,689,225/871,778
  6. Step 6: Final answer
    x = 2,091,902.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.