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Finding the Third Proportional to 589,108 and 900,796

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Solution

The third proportional to 589,108 and 900,796 is: 1,377,393.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,108 : 900,796 = 900,796 : x
  2. Step 2: Convert to fraction form
    589,108/900,796 = 900,796/x
  3. Step 3: Cross multiply
    589,108x = 900,796 × 900,796
  4. Step 4: Simplify right side
    589,108x = 811,433,433,616
  5. Step 5: Solve for x
    x = 811,433,433,616/589,108
  6. Step 6: Final answer
    x = 1,377,393.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.