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Finding the Third Proportional to 936,336 and 1,984,224

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Solution

The third proportional to 936,336 and 1,984,224 is: 4,204,841.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    936,336 : 1,984,224 = 1,984,224 : x
  2. Step 2: Convert to fraction form
    936,336/1,984,224 = 1,984,224/x
  3. Step 3: Cross multiply
    936,336x = 1,984,224 × 1,984,224
  4. Step 4: Simplify right side
    936,336x = 3,937,144,882,176
  5. Step 5: Solve for x
    x = 3,937,144,882,176/936,336
  6. Step 6: Final answer
    x = 4,204,841.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.