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Finding the Third Proportional to 560,831 and 1,223,168

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Solution

The third proportional to 560,831 and 1,223,168 is: 2,667,719.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,831 : 1,223,168 = 1,223,168 : x
  2. Step 2: Convert to fraction form
    560,831/1,223,168 = 1,223,168/x
  3. Step 3: Cross multiply
    560,831x = 1,223,168 × 1,223,168
  4. Step 4: Simplify right side
    560,831x = 1,496,139,956,224
  5. Step 5: Solve for x
    x = 1,496,139,956,224/560,831
  6. Step 6: Final answer
    x = 2,667,719.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.