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Finding the Third Proportional to 871,773 and 1,881,165

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Solution

The third proportional to 871,773 and 1,881,165 is: 4,059,292.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,773 : 1,881,165 = 1,881,165 : x
  2. Step 2: Convert to fraction form
    871,773/1,881,165 = 1,881,165/x
  3. Step 3: Cross multiply
    871,773x = 1,881,165 × 1,881,165
  4. Step 4: Simplify right side
    871,773x = 3,538,781,757,225
  5. Step 5: Solve for x
    x = 3,538,781,757,225/871,773
  6. Step 6: Final answer
    x = 4,059,292.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.