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Finding the Third Proportional to 871,365 and 1,887,477

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Solution

The third proportional to 871,365 and 1,887,477 is: 4,088,492.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,365 : 1,887,477 = 1,887,477 : x
  2. Step 2: Convert to fraction form
    871,365/1,887,477 = 1,887,477/x
  3. Step 3: Cross multiply
    871,365x = 1,887,477 × 1,887,477
  4. Step 4: Simplify right side
    871,365x = 3,562,569,425,529
  5. Step 5: Solve for x
    x = 3,562,569,425,529/871,365
  6. Step 6: Final answer
    x = 4,088,492.68

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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.