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Finding the Third Proportional to 472,566 and 1,023,864

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Solution

The third proportional to 472,566 and 1,023,864 is: 2,218,309.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,566 : 1,023,864 = 1,023,864 : x
  2. Step 2: Convert to fraction form
    472,566/1,023,864 = 1,023,864/x
  3. Step 3: Cross multiply
    472,566x = 1,023,864 × 1,023,864
  4. Step 4: Simplify right side
    472,566x = 1,048,297,490,496
  5. Step 5: Solve for x
    x = 1,048,297,490,496/472,566
  6. Step 6: Final answer
    x = 2,218,309.17

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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.