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Finding the Third Proportional to 1,682,875 and 3,670,345

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Solution

The third proportional to 1,682,875 and 3,670,345 is: 8,005,010.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,875 : 3,670,345 = 3,670,345 : x
  2. Step 2: Convert to fraction form
    1,682,875/3,670,345 = 3,670,345/x
  3. Step 3: Cross multiply
    1,682,875x = 3,670,345 × 3,670,345
  4. Step 4: Simplify right side
    1,682,875x = 13,471,432,419,025
  5. Step 5: Solve for x
    x = 13,471,432,419,025/1,682,875
  6. Step 6: Final answer
    x = 8,005,010.72

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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.