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Finding the Third Proportional to 3,466,215 and 4,600,357

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Solution

The third proportional to 3,466,215 and 4,600,357 is: 6,105,589.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466,215 : 4,600,357 = 4,600,357 : x
  2. Step 2: Convert to fraction form
    3,466,215/4,600,357 = 4,600,357/x
  3. Step 3: Cross multiply
    3,466,215x = 4,600,357 × 4,600,357
  4. Step 4: Simplify right side
    3,466,215x = 21,163,284,527,449
  5. Step 5: Solve for x
    x = 21,163,284,527,449/3,466,215
  6. Step 6: Final answer
    x = 6,105,589.10

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.