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Finding the Third Proportional to 1,330,265.53 and 2,028,613.36

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Solution

The third proportional to 1,330,265.53 and 2,028,613.36 is: 3,093,571.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330,265.53 : 2,028,613.36 = 2,028,613.36 : x
  2. Step 2: Convert to fraction form
    1,330,265.53/2,028,613.36 = 2,028,613.36/x
  3. Step 3: Cross multiply
    1,330,265.53x = 2,028,613.36 × 2,028,613.36
  4. Step 4: Simplify right side
    1,330,265.53x = 4,115,272,161,834.72
  5. Step 5: Solve for x
    x = 4,115,272,161,834.72/1,330,265.53
  6. Step 6: Final answer
    x = 3,093,571.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.