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Finding the Third Proportional to 613,084 and 1,340,216

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Solution

The third proportional to 613,084 and 1,340,216 is: 2,929,743.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,084 : 1,340,216 = 1,340,216 : x
  2. Step 2: Convert to fraction form
    613,084/1,340,216 = 1,340,216/x
  3. Step 3: Cross multiply
    613,084x = 1,340,216 × 1,340,216
  4. Step 4: Simplify right side
    613,084x = 1,796,178,926,656
  5. Step 5: Solve for x
    x = 1,796,178,926,656/613,084
  6. Step 6: Final answer
    x = 2,929,743.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.