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Finding the Third Proportional to 766,533.50 and 1,612,519

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Solution

The third proportional to 766,533.50 and 1,612,519 is: 3,392,177.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,533.50 : 1,612,519 = 1,612,519 : x
  2. Step 2: Convert to fraction form
    766,533.50/1,612,519 = 1,612,519/x
  3. Step 3: Cross multiply
    766,533.50x = 1,612,519 × 1,612,519
  4. Step 4: Simplify right side
    766,533.50x = 2,600,217,525,361
  5. Step 5: Solve for x
    x = 2,600,217,525,361/766,533.50
  6. Step 6: Final answer
    x = 3,392,177.28

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.