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Finding the Third Proportional to 903,971 and 2,006,194

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Solution

The third proportional to 903,971 and 2,006,194 is: 4,452,371.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,971 : 2,006,194 = 2,006,194 : x
  2. Step 2: Convert to fraction form
    903,971/2,006,194 = 2,006,194/x
  3. Step 3: Cross multiply
    903,971x = 2,006,194 × 2,006,194
  4. Step 4: Simplify right side
    903,971x = 4,024,814,365,636
  5. Step 5: Solve for x
    x = 4,024,814,365,636/903,971
  6. Step 6: Final answer
    x = 4,452,371.11

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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.