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Finding the Third Proportional to 972,485.50 and 1,427,198

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Solution

The third proportional to 972,485.50 and 1,427,198 is: 2,094,523.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,485.50 : 1,427,198 = 1,427,198 : x
  2. Step 2: Convert to fraction form
    972,485.50/1,427,198 = 1,427,198/x
  3. Step 3: Cross multiply
    972,485.50x = 1,427,198 × 1,427,198
  4. Step 4: Simplify right side
    972,485.50x = 2,036,894,131,204
  5. Step 5: Solve for x
    x = 2,036,894,131,204/972,485.50
  6. Step 6: Final answer
    x = 2,094,523.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.