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Finding the Third Proportional to 904,977 and 1,787,106

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Solution

The third proportional to 904,977 and 1,787,106 is: 3,529,092.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,977 : 1,787,106 = 1,787,106 : x
  2. Step 2: Convert to fraction form
    904,977/1,787,106 = 1,787,106/x
  3. Step 3: Cross multiply
    904,977x = 1,787,106 × 1,787,106
  4. Step 4: Simplify right side
    904,977x = 3,193,747,855,236
  5. Step 5: Solve for x
    x = 3,193,747,855,236/904,977
  6. Step 6: Final answer
    x = 3,529,092.84

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.