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Finding the Third Proportional to 1,500,700.50 and 3,286,008

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Solution

The third proportional to 1,500,700.50 and 3,286,008 is: 7,195,205.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500,700.50 : 3,286,008 = 3,286,008 : x
  2. Step 2: Convert to fraction form
    1,500,700.50/3,286,008 = 3,286,008/x
  3. Step 3: Cross multiply
    1,500,700.50x = 3,286,008 × 3,286,008
  4. Step 4: Simplify right side
    1,500,700.50x = 10,797,848,576,064
  5. Step 5: Solve for x
    x = 10,797,848,576,064/1,500,700.50
  6. Step 6: Final answer
    x = 7,195,205.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.