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Finding the Third Proportional to 3,114,972 and 4,554,198

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Solution

The third proportional to 3,114,972 and 4,554,198 is: 6,658,396.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114,972 : 4,554,198 = 4,554,198 : x
  2. Step 2: Convert to fraction form
    3,114,972/4,554,198 = 4,554,198/x
  3. Step 3: Cross multiply
    3,114,972x = 4,554,198 × 4,554,198
  4. Step 4: Simplify right side
    3,114,972x = 20,740,719,423,204
  5. Step 5: Solve for x
    x = 20,740,719,423,204/3,114,972
  6. Step 6: Final answer
    x = 6,658,396.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.