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Finding the Third Proportional to 903,978 and 2,006,208

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Solution

The third proportional to 903,978 and 2,006,208 is: 4,452,398.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,978 : 2,006,208 = 2,006,208 : x
  2. Step 2: Convert to fraction form
    903,978/2,006,208 = 2,006,208/x
  3. Step 3: Cross multiply
    903,978x = 2,006,208 × 2,006,208
  4. Step 4: Simplify right side
    903,978x = 4,024,870,539,264
  5. Step 5: Solve for x
    x = 4,024,870,539,264/903,978
  6. Step 6: Final answer
    x = 4,452,398.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.