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Finding the Third Proportional to 871,324 and 1,887,399

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Solution

The third proportional to 871,324 and 1,887,399 is: 4,088,347.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,324 : 1,887,399 = 1,887,399 : x
  2. Step 2: Convert to fraction form
    871,324/1,887,399 = 1,887,399/x
  3. Step 3: Cross multiply
    871,324x = 1,887,399 × 1,887,399
  4. Step 4: Simplify right side
    871,324x = 3,562,274,985,201
  5. Step 5: Solve for x
    x = 3,562,274,985,201/871,324
  6. Step 6: Final answer
    x = 4,088,347.14

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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.