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Finding the Third Proportional to 952,206 and 1,983,324

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Solution

The third proportional to 952,206 and 1,983,324 is: 4,131,011.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,206 : 1,983,324 = 1,983,324 : x
  2. Step 2: Convert to fraction form
    952,206/1,983,324 = 1,983,324/x
  3. Step 3: Cross multiply
    952,206x = 1,983,324 × 1,983,324
  4. Step 4: Simplify right side
    952,206x = 3,933,574,088,976
  5. Step 5: Solve for x
    x = 3,933,574,088,976/952,206
  6. Step 6: Final answer
    x = 4,131,011.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.