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Finding the Third Proportional to 749,620.41 and 1,618,932.02

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Solution

The third proportional to 749,620.41 and 1,618,932.02 is: 3,496,357.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,620.41 : 1,618,932.02 = 1,618,932.02 : x
  2. Step 2: Convert to fraction form
    749,620.41/1,618,932.02 = 1,618,932.02/x
  3. Step 3: Cross multiply
    749,620.41x = 1,618,932.02 × 1,618,932.02
  4. Step 4: Simplify right side
    749,620.41x = 2,620,940,896,511.44
  5. Step 5: Solve for x
    x = 2,620,940,896,511.44/749,620.41
  6. Step 6: Final answer
    x = 3,496,357.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.