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Finding the Third Proportional to 613,940 and 1,328,767

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Solution

The third proportional to 613,940 and 1,328,767 is: 2,875,886.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,940 : 1,328,767 = 1,328,767 : x
  2. Step 2: Convert to fraction form
    613,940/1,328,767 = 1,328,767/x
  3. Step 3: Cross multiply
    613,940x = 1,328,767 × 1,328,767
  4. Step 4: Simplify right side
    613,940x = 1,765,621,740,289
  5. Step 5: Solve for x
    x = 1,765,621,740,289/613,940
  6. Step 6: Final answer
    x = 2,875,886.47

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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.