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Finding the Third Proportional to 418,014 and 903,096

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Solution

The third proportional to 418,014 and 903,096 is: 1,951,088.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,014 : 903,096 = 903,096 : x
  2. Step 2: Convert to fraction form
    418,014/903,096 = 903,096/x
  3. Step 3: Cross multiply
    418,014x = 903,096 × 903,096
  4. Step 4: Simplify right side
    418,014x = 815,582,385,216
  5. Step 5: Solve for x
    x = 815,582,385,216/418,014
  6. Step 6: Final answer
    x = 1,951,088.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.