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Finding the Third Proportional to 861,141 and 1,853,912

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Solution

The third proportional to 861,141 and 1,853,912 is: 3,991,204.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,141 : 1,853,912 = 1,853,912 : x
  2. Step 2: Convert to fraction form
    861,141/1,853,912 = 1,853,912/x
  3. Step 3: Cross multiply
    861,141x = 1,853,912 × 1,853,912
  4. Step 4: Simplify right side
    861,141x = 3,436,989,703,744
  5. Step 5: Solve for x
    x = 3,436,989,703,744/861,141
  6. Step 6: Final answer
    x = 3,991,204.35

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Why These Related Problems?

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