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Finding the Third Proportional to 503,602 and 981,502

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Solution

The third proportional to 503,602 and 981,502 is: 1,912,911.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,602 : 981,502 = 981,502 : x
  2. Step 2: Convert to fraction form
    503,602/981,502 = 981,502/x
  3. Step 3: Cross multiply
    503,602x = 981,502 × 981,502
  4. Step 4: Simplify right side
    503,602x = 963,346,176,004
  5. Step 5: Solve for x
    x = 963,346,176,004/503,602
  6. Step 6: Final answer
    x = 1,912,911.74

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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.