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Finding the Third Proportional to 503,598 and 981,494

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Solution

The third proportional to 503,598 and 981,494 is: 1,912,895.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,598 : 981,494 = 981,494 : x
  2. Step 2: Convert to fraction form
    503,598/981,494 = 981,494/x
  3. Step 3: Cross multiply
    503,598x = 981,494 × 981,494
  4. Step 4: Simplify right side
    503,598x = 963,330,472,036
  5. Step 5: Solve for x
    x = 963,330,472,036/503,598
  6. Step 6: Final answer
    x = 1,912,895.75

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.