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Finding the Third Proportional to 1,686,142.50 and 2,571,231

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Solution

The third proportional to 1,686,142.50 and 2,571,231 is: 3,920,919.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686,142.50 : 2,571,231 = 2,571,231 : x
  2. Step 2: Convert to fraction form
    1,686,142.50/2,571,231 = 2,571,231/x
  3. Step 3: Cross multiply
    1,686,142.50x = 2,571,231 × 2,571,231
  4. Step 4: Simplify right side
    1,686,142.50x = 6,611,228,855,361
  5. Step 5: Solve for x
    x = 6,611,228,855,361/1,686,142.50
  6. Step 6: Final answer
    x = 3,920,919.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.