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Finding the Third Proportional to 4,419,184 and 6,824,144

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Solution

The third proportional to 4,419,184 and 6,824,144 is: 10,537,905.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,419,184 : 6,824,144 = 6,824,144 : x
  2. Step 2: Convert to fraction form
    4,419,184/6,824,144 = 6,824,144/x
  3. Step 3: Cross multiply
    4,419,184x = 6,824,144 × 6,824,144
  4. Step 4: Simplify right side
    4,419,184x = 46,568,941,332,736
  5. Step 5: Solve for x
    x = 46,568,941,332,736/4,419,184
  6. Step 6: Final answer
    x = 10,537,905.04

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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.