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Finding the Third Proportional to 506,997 and 1,101,582

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Solution

The third proportional to 506,997 and 1,101,582 is: 2,393,471.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,997 : 1,101,582 = 1,101,582 : x
  2. Step 2: Convert to fraction form
    506,997/1,101,582 = 1,101,582/x
  3. Step 3: Cross multiply
    506,997x = 1,101,582 × 1,101,582
  4. Step 4: Simplify right side
    506,997x = 1,213,482,902,724
  5. Step 5: Solve for x
    x = 1,213,482,902,724/506,997
  6. Step 6: Final answer
    x = 2,393,471.56

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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.