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Finding the Third Proportional to 772,759.50 and 1,659,783

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Solution

The third proportional to 772,759.50 and 1,659,783 is: 3,564,989.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,759.50 : 1,659,783 = 1,659,783 : x
  2. Step 2: Convert to fraction form
    772,759.50/1,659,783 = 1,659,783/x
  3. Step 3: Cross multiply
    772,759.50x = 1,659,783 × 1,659,783
  4. Step 4: Simplify right side
    772,759.50x = 2,754,879,607,089
  5. Step 5: Solve for x
    x = 2,754,879,607,089/772,759.50
  6. Step 6: Final answer
    x = 3,564,989.63

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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.