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Finding the Third Proportional to 1,200,340 and 1,858,021

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Solution

The third proportional to 1,200,340 and 1,858,021 is: 2,876,053.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200,340 : 1,858,021 = 1,858,021 : x
  2. Step 2: Convert to fraction form
    1,200,340/1,858,021 = 1,858,021/x
  3. Step 3: Cross multiply
    1,200,340x = 1,858,021 × 1,858,021
  4. Step 4: Simplify right side
    1,200,340x = 3,452,242,036,441
  5. Step 5: Solve for x
    x = 3,452,242,036,441/1,200,340
  6. Step 6: Final answer
    x = 2,876,053.48

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.