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Finding the Third Proportional to 3,471,369 and 5,194,481

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Solution

The third proportional to 3,471,369 and 5,194,481 is: 7,772,908.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471,369 : 5,194,481 = 5,194,481 : x
  2. Step 2: Convert to fraction form
    3,471,369/5,194,481 = 5,194,481/x
  3. Step 3: Cross multiply
    3,471,369x = 5,194,481 × 5,194,481
  4. Step 4: Simplify right side
    3,471,369x = 26,982,632,859,361
  5. Step 5: Solve for x
    x = 26,982,632,859,361/3,471,369
  6. Step 6: Final answer
    x = 7,772,908.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.