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Finding the Third Proportional to 960,697.50 and 2,069,847

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Solution

The third proportional to 960,697.50 and 2,069,847 is: 4,459,537.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,697.50 : 2,069,847 = 2,069,847 : x
  2. Step 2: Convert to fraction form
    960,697.50/2,069,847 = 2,069,847/x
  3. Step 3: Cross multiply
    960,697.50x = 2,069,847 × 2,069,847
  4. Step 4: Simplify right side
    960,697.50x = 4,284,266,603,409
  5. Step 5: Solve for x
    x = 4,284,266,603,409/960,697.50
  6. Step 6: Final answer
    x = 4,459,537.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.