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Finding the Third Proportional to 903,980 and 2,006,212

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Solution

The third proportional to 903,980 and 2,006,212 is: 4,452,406.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,980 : 2,006,212 = 2,006,212 : x
  2. Step 2: Convert to fraction form
    903,980/2,006,212 = 2,006,212/x
  3. Step 3: Cross multiply
    903,980x = 2,006,212 × 2,006,212
  4. Step 4: Simplify right side
    903,980x = 4,024,886,588,944
  5. Step 5: Solve for x
    x = 4,024,886,588,944/903,980
  6. Step 6: Final answer
    x = 4,452,406.68

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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.