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Finding the Third Proportional to 1,184,400.56 and 1,787,266.69

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Solution

The third proportional to 1,184,400.56 and 1,787,266.69 is: 2,696,994.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184,400.56 : 1,787,266.69 = 1,787,266.69 : x
  2. Step 2: Convert to fraction form
    1,184,400.56/1,787,266.69 = 1,787,266.69/x
  3. Step 3: Cross multiply
    1,184,400.56x = 1,787,266.69 × 1,787,266.69
  4. Step 4: Simplify right side
    1,184,400.56x = 3,194,322,212,247.22
  5. Step 5: Solve for x
    x = 3,194,322,212,247.22/1,184,400.56
  6. Step 6: Final answer
    x = 2,696,994.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.