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Finding the Third Proportional to 830,837 and 1,807,474

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Solution

The third proportional to 830,837 and 1,807,474 is: 3,932,133.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,837 : 1,807,474 = 1,807,474 : x
  2. Step 2: Convert to fraction form
    830,837/1,807,474 = 1,807,474/x
  3. Step 3: Cross multiply
    830,837x = 1,807,474 × 1,807,474
  4. Step 4: Simplify right side
    830,837x = 3,266,962,260,676
  5. Step 5: Solve for x
    x = 3,266,962,260,676/830,837
  6. Step 6: Final answer
    x = 3,932,133.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.