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Finding the Third Proportional to 575,183 and 889,694

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Solution

The third proportional to 575,183 and 889,694 is: 1,376,180.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,183 : 889,694 = 889,694 : x
  2. Step 2: Convert to fraction form
    575,183/889,694 = 889,694/x
  3. Step 3: Cross multiply
    575,183x = 889,694 × 889,694
  4. Step 4: Simplify right side
    575,183x = 791,555,413,636
  5. Step 5: Solve for x
    x = 791,555,413,636/575,183
  6. Step 6: Final answer
    x = 1,376,180.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.