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Finding the Third Proportional to 1,715,338.50 and 3,652,536

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Solution

The third proportional to 1,715,338.50 and 3,652,536 is: 7,777,484.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715,338.50 : 3,652,536 = 3,652,536 : x
  2. Step 2: Convert to fraction form
    1,715,338.50/3,652,536 = 3,652,536/x
  3. Step 3: Cross multiply
    1,715,338.50x = 3,652,536 × 3,652,536
  4. Step 4: Simplify right side
    1,715,338.50x = 13,341,019,231,296
  5. Step 5: Solve for x
    x = 13,341,019,231,296/1,715,338.50
  6. Step 6: Final answer
    x = 7,777,484.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.