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Finding the Third Proportional to 689,110 and 1,106,306

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Solution

The third proportional to 689,110 and 1,106,306 is: 1,776,077.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,110 : 1,106,306 = 1,106,306 : x
  2. Step 2: Convert to fraction form
    689,110/1,106,306 = 1,106,306/x
  3. Step 3: Cross multiply
    689,110x = 1,106,306 × 1,106,306
  4. Step 4: Simplify right side
    689,110x = 1,223,912,965,636
  5. Step 5: Solve for x
    x = 1,223,912,965,636/689,110
  6. Step 6: Final answer
    x = 1,776,077.79

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.