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Finding the Third Proportional to 830,844.50 and 1,807,489

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Solution

The third proportional to 830,844.50 and 1,807,489 is: 3,932,163.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,844.50 : 1,807,489 = 1,807,489 : x
  2. Step 2: Convert to fraction form
    830,844.50/1,807,489 = 1,807,489/x
  3. Step 3: Cross multiply
    830,844.50x = 1,807,489 × 1,807,489
  4. Step 4: Simplify right side
    830,844.50x = 3,267,016,485,121
  5. Step 5: Solve for x
    x = 3,267,016,485,121/830,844.50
  6. Step 6: Final answer
    x = 3,932,163.58

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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.