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Finding the Third Proportional to 969,832.50 and 2,107,536

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Solution

The third proportional to 969,832.50 and 2,107,536 is: 4,579,871.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,832.50 : 2,107,536 = 2,107,536 : x
  2. Step 2: Convert to fraction form
    969,832.50/2,107,536 = 2,107,536/x
  3. Step 3: Cross multiply
    969,832.50x = 2,107,536 × 2,107,536
  4. Step 4: Simplify right side
    969,832.50x = 4,441,707,991,296
  5. Step 5: Solve for x
    x = 4,441,707,991,296/969,832.50
  6. Step 6: Final answer
    x = 4,579,871.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.