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Finding the Third Proportional to 1,086,214 and 1,519,314

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Solution

The third proportional to 1,086,214 and 1,519,314 is: 2,125,101.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086,214 : 1,519,314 = 1,519,314 : x
  2. Step 2: Convert to fraction form
    1,086,214/1,519,314 = 1,519,314/x
  3. Step 3: Cross multiply
    1,086,214x = 1,519,314 × 1,519,314
  4. Step 4: Simplify right side
    1,086,214x = 2,308,315,030,596
  5. Step 5: Solve for x
    x = 2,308,315,030,596/1,086,214
  6. Step 6: Final answer
    x = 2,125,101.53

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.