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Finding the Third Proportional to 3,202,045 and 4,952,695

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Solution

The third proportional to 3,202,045 and 4,952,695 is: 7,660,475.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202,045 : 4,952,695 = 4,952,695 : x
  2. Step 2: Convert to fraction form
    3,202,045/4,952,695 = 4,952,695/x
  3. Step 3: Cross multiply
    3,202,045x = 4,952,695 × 4,952,695
  4. Step 4: Simplify right side
    3,202,045x = 24,529,187,763,025
  5. Step 5: Solve for x
    x = 24,529,187,763,025/3,202,045
  6. Step 6: Final answer
    x = 7,660,475.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.