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Finding the Third Proportional to 437,424 and 909,775

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Solution

The third proportional to 437,424 and 909,775 is: 1,892,192.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,424 : 909,775 = 909,775 : x
  2. Step 2: Convert to fraction form
    437,424/909,775 = 909,775/x
  3. Step 3: Cross multiply
    437,424x = 909,775 × 909,775
  4. Step 4: Simplify right side
    437,424x = 827,690,550,625
  5. Step 5: Solve for x
    x = 827,690,550,625/437,424
  6. Step 6: Final answer
    x = 1,892,192.82

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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.