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Finding the Third Proportional to 4,419,192 and 6,824,156

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Solution

The third proportional to 4,419,192 and 6,824,156 is: 10,537,923.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,419,192 : 6,824,156 = 6,824,156 : x
  2. Step 2: Convert to fraction form
    4,419,192/6,824,156 = 6,824,156/x
  3. Step 3: Cross multiply
    4,419,192x = 6,824,156 × 6,824,156
  4. Step 4: Simplify right side
    4,419,192x = 46,569,105,112,336
  5. Step 5: Solve for x
    x = 46,569,105,112,336/4,419,192
  6. Step 6: Final answer
    x = 10,537,923.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.