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Finding the Third Proportional to 1,993,794 and 4,386,324

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Solution

The third proportional to 1,993,794 and 4,386,324 is: 9,649,862.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993,794 : 4,386,324 = 4,386,324 : x
  2. Step 2: Convert to fraction form
    1,993,794/4,386,324 = 4,386,324/x
  3. Step 3: Cross multiply
    1,993,794x = 4,386,324 × 4,386,324
  4. Step 4: Simplify right side
    1,993,794x = 19,239,838,232,976
  5. Step 5: Solve for x
    x = 19,239,838,232,976/1,993,794
  6. Step 6: Final answer
    x = 9,649,862.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.