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Finding the Third Proportional to 1,682,262 and 3,690,211.50

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Solution

The third proportional to 1,682,262 and 3,690,211.50 is: 8,094,851.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,262 : 3,690,211.50 = 3,690,211.50 : x
  2. Step 2: Convert to fraction form
    1,682,262/3,690,211.50 = 3,690,211.50/x
  3. Step 3: Cross multiply
    1,682,262x = 3,690,211.50 × 3,690,211.50
  4. Step 4: Simplify right side
    1,682,262x = 13,617,660,914,732.25
  5. Step 5: Solve for x
    x = 13,617,660,914,732.25/1,682,262
  6. Step 6: Final answer
    x = 8,094,851.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.