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Finding the Third Proportional to 834,975 and 1,861,191

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Solution

The third proportional to 834,975 and 1,861,191 is: 4,148,665.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,975 : 1,861,191 = 1,861,191 : x
  2. Step 2: Convert to fraction form
    834,975/1,861,191 = 1,861,191/x
  3. Step 3: Cross multiply
    834,975x = 1,861,191 × 1,861,191
  4. Step 4: Simplify right side
    834,975x = 3,464,031,938,481
  5. Step 5: Solve for x
    x = 3,464,031,938,481/834,975
  6. Step 6: Final answer
    x = 4,148,665.46

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.