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Finding the Third Proportional to 535,416 and 994,224

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Solution

The third proportional to 535,416 and 994,224 is: 1,846,193.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,416 : 994,224 = 994,224 : x
  2. Step 2: Convert to fraction form
    535,416/994,224 = 994,224/x
  3. Step 3: Cross multiply
    535,416x = 994,224 × 994,224
  4. Step 4: Simplify right side
    535,416x = 988,481,362,176
  5. Step 5: Solve for x
    x = 988,481,362,176/535,416
  6. Step 6: Final answer
    x = 1,846,193.17

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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.