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Finding the Third Proportional to 433,766 and 932,728

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Solution

The third proportional to 433,766 and 932,728 is: 2,005,647.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,766 : 932,728 = 932,728 : x
  2. Step 2: Convert to fraction form
    433,766/932,728 = 932,728/x
  3. Step 3: Cross multiply
    433,766x = 932,728 × 932,728
  4. Step 4: Simplify right side
    433,766x = 869,981,521,984
  5. Step 5: Solve for x
    x = 869,981,521,984/433,766
  6. Step 6: Final answer
    x = 2,005,647.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.