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Finding the Third Proportional to 666,518.63 and 969,524.44

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Solution

The third proportional to 666,518.63 and 969,524.44 is: 1,410,279.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,518.63 : 969,524.44 = 969,524.44 : x
  2. Step 2: Convert to fraction form
    666,518.63/969,524.44 = 969,524.44/x
  3. Step 3: Cross multiply
    666,518.63x = 969,524.44 × 969,524.44
  4. Step 4: Simplify right side
    666,518.63x = 939,977,634,909.69
  5. Step 5: Solve for x
    x = 939,977,634,909.69/666,518.63
  6. Step 6: Final answer
    x = 1,410,279.62

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.