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Finding the Third Proportional to 534,839 and 1,187,776

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Solution

The third proportional to 534,839 and 1,187,776 is: 2,637,825.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,839 : 1,187,776 = 1,187,776 : x
  2. Step 2: Convert to fraction form
    534,839/1,187,776 = 1,187,776/x
  3. Step 3: Cross multiply
    534,839x = 1,187,776 × 1,187,776
  4. Step 4: Simplify right side
    534,839x = 1,410,811,826,176
  5. Step 5: Solve for x
    x = 1,410,811,826,176/534,839
  6. Step 6: Final answer
    x = 2,637,825.26

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.