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Finding the Third Proportional to 786,511.75 and 1,723,086.75

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Solution

The third proportional to 786,511.75 and 1,723,086.75 is: 3,774,931.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,511.75 : 1,723,086.75 = 1,723,086.75 : x
  2. Step 2: Convert to fraction form
    786,511.75/1,723,086.75 = 1,723,086.75/x
  3. Step 3: Cross multiply
    786,511.75x = 1,723,086.75 × 1,723,086.75
  4. Step 4: Simplify right side
    786,511.75x = 2,969,027,948,025.56
  5. Step 5: Solve for x
    x = 2,969,027,948,025.56/786,511.75
  6. Step 6: Final answer
    x = 3,774,931.46

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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.