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Finding the Third Proportional to 871,222 and 1,887,214

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Solution

The third proportional to 871,222 and 1,887,214 is: 4,088,024.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,222 : 1,887,214 = 1,887,214 : x
  2. Step 2: Convert to fraction form
    871,222/1,887,214 = 1,887,214/x
  3. Step 3: Cross multiply
    871,222x = 1,887,214 × 1,887,214
  4. Step 4: Simplify right side
    871,222x = 3,561,576,681,796
  5. Step 5: Solve for x
    x = 3,561,576,681,796/871,222
  6. Step 6: Final answer
    x = 4,088,024.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.