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Finding the Third Proportional to 861,143 and 1,853,914

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Solution

The third proportional to 861,143 and 1,853,914 is: 3,991,203.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,143 : 1,853,914 = 1,853,914 : x
  2. Step 2: Convert to fraction form
    861,143/1,853,914 = 1,853,914/x
  3. Step 3: Cross multiply
    861,143x = 1,853,914 × 1,853,914
  4. Step 4: Simplify right side
    861,143x = 3,436,997,119,396
  5. Step 5: Solve for x
    x = 3,436,997,119,396/861,143
  6. Step 6: Final answer
    x = 3,991,203.69

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.