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Finding the Third Proportional to 426,845 and 932,410

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Solution

The third proportional to 426,845 and 932,410 is: 2,036,777.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,845 : 932,410 = 932,410 : x
  2. Step 2: Convert to fraction form
    426,845/932,410 = 932,410/x
  3. Step 3: Cross multiply
    426,845x = 932,410 × 932,410
  4. Step 4: Simplify right side
    426,845x = 869,388,408,100
  5. Step 5: Solve for x
    x = 869,388,408,100/426,845
  6. Step 6: Final answer
    x = 2,036,777.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.