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Finding the Third Proportional to 492,855 and 1,069,362.75

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Solution

The third proportional to 492,855 and 1,069,362.75 is: 2,320,229.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,855 : 1,069,362.75 = 1,069,362.75 : x
  2. Step 2: Convert to fraction form
    492,855/1,069,362.75 = 1,069,362.75/x
  3. Step 3: Cross multiply
    492,855x = 1,069,362.75 × 1,069,362.75
  4. Step 4: Simplify right side
    492,855x = 1,143,536,691,087.56
  5. Step 5: Solve for x
    x = 1,143,536,691,087.56/492,855
  6. Step 6: Final answer
    x = 2,320,229.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.