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Finding the Third Proportional to 467,073 and 1,015,794

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Solution

The third proportional to 467,073 and 1,015,794 is: 2,209,156.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,073 : 1,015,794 = 1,015,794 : x
  2. Step 2: Convert to fraction form
    467,073/1,015,794 = 1,015,794/x
  3. Step 3: Cross multiply
    467,073x = 1,015,794 × 1,015,794
  4. Step 4: Simplify right side
    467,073x = 1,031,837,450,436
  5. Step 5: Solve for x
    x = 1,031,837,450,436/467,073
  6. Step 6: Final answer
    x = 2,209,156.71

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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.