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Finding the Third Proportional to 683,007 and 1,498,878

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Solution

The third proportional to 683,007 and 1,498,878 is: 3,289,329.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,007 : 1,498,878 = 1,498,878 : x
  2. Step 2: Convert to fraction form
    683,007/1,498,878 = 1,498,878/x
  3. Step 3: Cross multiply
    683,007x = 1,498,878 × 1,498,878
  4. Step 4: Simplify right side
    683,007x = 2,246,635,258,884
  5. Step 5: Solve for x
    x = 2,246,635,258,884/683,007
  6. Step 6: Final answer
    x = 3,289,329.77

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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.