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Finding the Third Proportional to 1,330,539.75 and 2,084,823

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Solution

The third proportional to 1,330,539.75 and 2,084,823 is: 3,266,709.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330,539.75 : 2,084,823 = 2,084,823 : x
  2. Step 2: Convert to fraction form
    1,330,539.75/2,084,823 = 2,084,823/x
  3. Step 3: Cross multiply
    1,330,539.75x = 2,084,823 × 2,084,823
  4. Step 4: Simplify right side
    1,330,539.75x = 4,346,486,941,329
  5. Step 5: Solve for x
    x = 4,346,486,941,329/1,330,539.75
  6. Step 6: Final answer
    x = 3,266,709.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.