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Finding the Third Proportional to 1,682,459 and 3,669,423

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Solution

The third proportional to 1,682,459 and 3,669,423 is: 8,002,967.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,459 : 3,669,423 = 3,669,423 : x
  2. Step 2: Convert to fraction form
    1,682,459/3,669,423 = 3,669,423/x
  3. Step 3: Cross multiply
    1,682,459x = 3,669,423 × 3,669,423
  4. Step 4: Simplify right side
    1,682,459x = 13,464,665,152,929
  5. Step 5: Solve for x
    x = 13,464,665,152,929/1,682,459
  6. Step 6: Final answer
    x = 8,002,967.77

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.