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Finding the Third Proportional to 787,530 and 1,686,930

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Solution

The third proportional to 787,530 and 1,686,930 is: 3,613,491.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,530 : 1,686,930 = 1,686,930 : x
  2. Step 2: Convert to fraction form
    787,530/1,686,930 = 1,686,930/x
  3. Step 3: Cross multiply
    787,530x = 1,686,930 × 1,686,930
  4. Step 4: Simplify right side
    787,530x = 2,845,732,824,900
  5. Step 5: Solve for x
    x = 2,845,732,824,900/787,530
  6. Step 6: Final answer
    x = 3,613,491.33

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.