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Finding the Third Proportional to 475,516 and 990,884

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Solution

The third proportional to 475,516 and 990,884 is: 2,064,811.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,516 : 990,884 = 990,884 : x
  2. Step 2: Convert to fraction form
    475,516/990,884 = 990,884/x
  3. Step 3: Cross multiply
    475,516x = 990,884 × 990,884
  4. Step 4: Simplify right side
    475,516x = 981,851,101,456
  5. Step 5: Solve for x
    x = 981,851,101,456/475,516
  6. Step 6: Final answer
    x = 2,064,811.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.