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Finding the Third Proportional to 1,686,138.75 and 2,571,226.88

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Solution

The third proportional to 1,686,138.75 and 2,571,226.88 is: 3,920,915.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686,138.75 : 2,571,226.88 = 2,571,226.88 : x
  2. Step 2: Convert to fraction form
    1,686,138.75/2,571,226.88 = 2,571,226.88/x
  3. Step 3: Cross multiply
    1,686,138.75x = 2,571,226.88 × 2,571,226.88
  4. Step 4: Simplify right side
    1,686,138.75x = 6,611,207,642,722.27
  5. Step 5: Solve for x
    x = 6,611,207,642,722.27/1,686,138.75
  6. Step 6: Final answer
    x = 3,920,915.55

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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.