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Finding the Third Proportional to 503,606 and 981,510

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Solution

The third proportional to 503,606 and 981,510 is: 1,912,927.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,606 : 981,510 = 981,510 : x
  2. Step 2: Convert to fraction form
    503,606/981,510 = 981,510/x
  3. Step 3: Cross multiply
    503,606x = 981,510 × 981,510
  4. Step 4: Simplify right side
    503,606x = 963,361,880,100
  5. Step 5: Solve for x
    x = 963,361,880,100/503,606
  6. Step 6: Final answer
    x = 1,912,927.73

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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.