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Finding the Third Proportional to 786,976.50 and 1,720,757

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Solution

The third proportional to 786,976.50 and 1,720,757 is: 3,762,507.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,976.50 : 1,720,757 = 1,720,757 : x
  2. Step 2: Convert to fraction form
    786,976.50/1,720,757 = 1,720,757/x
  3. Step 3: Cross multiply
    786,976.50x = 1,720,757 × 1,720,757
  4. Step 4: Simplify right side
    786,976.50x = 2,961,004,653,049
  5. Step 5: Solve for x
    x = 2,961,004,653,049/786,976.50
  6. Step 6: Final answer
    x = 3,762,507.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.