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Finding the Third Proportional to 1,682,499 and 3,669,507

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Solution

The third proportional to 1,682,499 and 3,669,507 is: 8,003,143.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,499 : 3,669,507 = 3,669,507 : x
  2. Step 2: Convert to fraction form
    1,682,499/3,669,507 = 3,669,507/x
  3. Step 3: Cross multiply
    1,682,499x = 3,669,507 × 3,669,507
  4. Step 4: Simplify right side
    1,682,499x = 13,465,281,623,049
  5. Step 5: Solve for x
    x = 13,465,281,623,049/1,682,499
  6. Step 6: Final answer
    x = 8,003,143.91

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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.