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Finding the Third Proportional to 834,962 and 1,861,164

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Solution

The third proportional to 834,962 and 1,861,164 is: 4,148,609.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,962 : 1,861,164 = 1,861,164 : x
  2. Step 2: Convert to fraction form
    834,962/1,861,164 = 1,861,164/x
  3. Step 3: Cross multiply
    834,962x = 1,861,164 × 1,861,164
  4. Step 4: Simplify right side
    834,962x = 3,463,931,434,896
  5. Step 5: Solve for x
    x = 3,463,931,434,896/834,962
  6. Step 6: Final answer
    x = 4,148,609.68

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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.