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Finding the Third Proportional to 922,736 and 1,983,424

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Solution

The third proportional to 922,736 and 1,983,424 is: 4,263,376.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,736 : 1,983,424 = 1,983,424 : x
  2. Step 2: Convert to fraction form
    922,736/1,983,424 = 1,983,424/x
  3. Step 3: Cross multiply
    922,736x = 1,983,424 × 1,983,424
  4. Step 4: Simplify right side
    922,736x = 3,933,970,763,776
  5. Step 5: Solve for x
    x = 3,933,970,763,776/922,736
  6. Step 6: Final answer
    x = 4,263,376.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.