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Finding the Third Proportional to 3,082,974 and 6,498,318

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Solution

The third proportional to 3,082,974 and 6,498,318 is: 13,697,208.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082,974 : 6,498,318 = 6,498,318 : x
  2. Step 2: Convert to fraction form
    3,082,974/6,498,318 = 6,498,318/x
  3. Step 3: Cross multiply
    3,082,974x = 6,498,318 × 6,498,318
  4. Step 4: Simplify right side
    3,082,974x = 42,228,136,829,124
  5. Step 5: Solve for x
    x = 42,228,136,829,124/3,082,974
  6. Step 6: Final answer
    x = 13,697,208.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.