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Finding the Third Proportional to 1,182,714 and 1,853,194

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Solution

The third proportional to 1,182,714 and 1,853,194 is: 2,903,768.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182,714 : 1,853,194 = 1,853,194 : x
  2. Step 2: Convert to fraction form
    1,182,714/1,853,194 = 1,853,194/x
  3. Step 3: Cross multiply
    1,182,714x = 1,853,194 × 1,853,194
  4. Step 4: Simplify right side
    1,182,714x = 3,434,328,001,636
  5. Step 5: Solve for x
    x = 3,434,328,001,636/1,182,714
  6. Step 6: Final answer
    x = 2,903,768.79

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.