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Finding the Third Proportional to 557,442 and 1,086,852

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Solution

The third proportional to 557,442 and 1,086,852 is: 2,119,049.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,442 : 1,086,852 = 1,086,852 : x
  2. Step 2: Convert to fraction form
    557,442/1,086,852 = 1,086,852/x
  3. Step 3: Cross multiply
    557,442x = 1,086,852 × 1,086,852
  4. Step 4: Simplify right side
    557,442x = 1,181,247,269,904
  5. Step 5: Solve for x
    x = 1,181,247,269,904/557,442
  6. Step 6: Final answer
    x = 2,119,049.64

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.