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Finding the Third Proportional to 507,081 and 1,101,732

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Solution

The third proportional to 507,081 and 1,101,732 is: 2,393,726.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,081 : 1,101,732 = 1,101,732 : x
  2. Step 2: Convert to fraction form
    507,081/1,101,732 = 1,101,732/x
  3. Step 3: Cross multiply
    507,081x = 1,101,732 × 1,101,732
  4. Step 4: Simplify right side
    507,081x = 1,213,813,399,824
  5. Step 5: Solve for x
    x = 1,213,813,399,824/507,081
  6. Step 6: Final answer
    x = 2,393,726.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.