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Finding the Third Proportional to 3,082,968 and 6,498,306

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Solution

The third proportional to 3,082,968 and 6,498,306 is: 13,697,184.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082,968 : 6,498,306 = 6,498,306 : x
  2. Step 2: Convert to fraction form
    3,082,968/6,498,306 = 6,498,306/x
  3. Step 3: Cross multiply
    3,082,968x = 6,498,306 × 6,498,306
  4. Step 4: Simplify right side
    3,082,968x = 42,227,980,869,636
  5. Step 5: Solve for x
    x = 42,227,980,869,636/3,082,968
  6. Step 6: Final answer
    x = 13,697,184.29

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