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Finding the Third Proportional to 646,792 and 1,396,832

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Solution

The third proportional to 646,792 and 1,396,832 is: 3,016,641.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,792 : 1,396,832 = 1,396,832 : x
  2. Step 2: Convert to fraction form
    646,792/1,396,832 = 1,396,832/x
  3. Step 3: Cross multiply
    646,792x = 1,396,832 × 1,396,832
  4. Step 4: Simplify right side
    646,792x = 1,951,139,636,224
  5. Step 5: Solve for x
    x = 1,951,139,636,224/646,792
  6. Step 6: Final answer
    x = 3,016,641.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.