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Finding the Third Proportional to 1,177,106 and 1,769,259

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Solution

The third proportional to 1,177,106 and 1,769,259 is: 2,659,299.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177,106 : 1,769,259 = 1,769,259 : x
  2. Step 2: Convert to fraction form
    1,177,106/1,769,259 = 1,769,259/x
  3. Step 3: Cross multiply
    1,177,106x = 1,769,259 × 1,769,259
  4. Step 4: Simplify right side
    1,177,106x = 3,130,277,409,081
  5. Step 5: Solve for x
    x = 3,130,277,409,081/1,177,106
  6. Step 6: Final answer
    x = 2,659,299.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.