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Finding the Third Proportional to 903,642 and 1,882,194

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Solution

The third proportional to 903,642 and 1,882,194 is: 3,920,417.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,642 : 1,882,194 = 1,882,194 : x
  2. Step 2: Convert to fraction form
    903,642/1,882,194 = 1,882,194/x
  3. Step 3: Cross multiply
    903,642x = 1,882,194 × 1,882,194
  4. Step 4: Simplify right side
    903,642x = 3,542,654,253,636
  5. Step 5: Solve for x
    x = 3,542,654,253,636/903,642
  6. Step 6: Final answer
    x = 3,920,417.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.