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Finding the Third Proportional to 1,524,816 and 3,315,231

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Solution

The third proportional to 1,524,816 and 3,315,231 is: 7,207,923.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524,816 : 3,315,231 = 3,315,231 : x
  2. Step 2: Convert to fraction form
    1,524,816/3,315,231 = 3,315,231/x
  3. Step 3: Cross multiply
    1,524,816x = 3,315,231 × 3,315,231
  4. Step 4: Simplify right side
    1,524,816x = 10,990,756,583,361
  5. Step 5: Solve for x
    x = 10,990,756,583,361/1,524,816
  6. Step 6: Final answer
    x = 7,207,923.17

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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.