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Finding the Third Proportional to 636,822 and 1,384,128

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Solution

The third proportional to 636,822 and 1,384,128 is: 3,008,392.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,822 : 1,384,128 = 1,384,128 : x
  2. Step 2: Convert to fraction form
    636,822/1,384,128 = 1,384,128/x
  3. Step 3: Cross multiply
    636,822x = 1,384,128 × 1,384,128
  4. Step 4: Simplify right side
    636,822x = 1,915,810,320,384
  5. Step 5: Solve for x
    x = 1,915,810,320,384/636,822
  6. Step 6: Final answer
    x = 3,008,392.17

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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.