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Finding the Third Proportional to 534,762 and 1,161,738

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Solution

The third proportional to 534,762 and 1,161,738 is: 2,523,805.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,762 : 1,161,738 = 1,161,738 : x
  2. Step 2: Convert to fraction form
    534,762/1,161,738 = 1,161,738/x
  3. Step 3: Cross multiply
    534,762x = 1,161,738 × 1,161,738
  4. Step 4: Simplify right side
    534,762x = 1,349,635,180,644
  5. Step 5: Solve for x
    x = 1,349,635,180,644/534,762
  6. Step 6: Final answer
    x = 2,523,805.32

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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.