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Finding the Third Proportional to 592,118 and 902,901

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Solution

The third proportional to 592,118 and 902,901 is: 1,376,803.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,118 : 902,901 = 902,901 : x
  2. Step 2: Convert to fraction form
    592,118/902,901 = 902,901/x
  3. Step 3: Cross multiply
    592,118x = 902,901 × 902,901
  4. Step 4: Simplify right side
    592,118x = 815,230,215,801
  5. Step 5: Solve for x
    x = 815,230,215,801/592,118
  6. Step 6: Final answer
    x = 1,376,803.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.