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Finding the Third Proportional to 1,817,764.50 and 2,764,416

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Solution

The third proportional to 1,817,764.50 and 2,764,416 is: 4,204,062.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817,764.50 : 2,764,416 = 2,764,416 : x
  2. Step 2: Convert to fraction form
    1,817,764.50/2,764,416 = 2,764,416/x
  3. Step 3: Cross multiply
    1,817,764.50x = 2,764,416 × 2,764,416
  4. Step 4: Simplify right side
    1,817,764.50x = 7,641,995,821,056
  5. Step 5: Solve for x
    x = 7,641,995,821,056/1,817,764.50
  6. Step 6: Final answer
    x = 4,204,062.64

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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.