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Finding the Third Proportional to 869,432 and 1,794,736

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Solution

The third proportional to 869,432 and 1,794,736 is: 3,704,806.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,432 : 1,794,736 = 1,794,736 : x
  2. Step 2: Convert to fraction form
    869,432/1,794,736 = 1,794,736/x
  3. Step 3: Cross multiply
    869,432x = 1,794,736 × 1,794,736
  4. Step 4: Simplify right side
    869,432x = 3,221,077,309,696
  5. Step 5: Solve for x
    x = 3,221,077,309,696/869,432
  6. Step 6: Final answer
    x = 3,704,806.48

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.