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Finding the Third Proportional to 535,412 and 994,216

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Solution

The third proportional to 535,412 and 994,216 is: 1,846,177.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,412 : 994,216 = 994,216 : x
  2. Step 2: Convert to fraction form
    535,412/994,216 = 994,216/x
  3. Step 3: Cross multiply
    535,412x = 994,216 × 994,216
  4. Step 4: Simplify right side
    535,412x = 988,465,454,656
  5. Step 5: Solve for x
    x = 988,465,454,656/535,412
  6. Step 6: Final answer
    x = 1,846,177.25

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.