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Finding the Third Proportional to 733,902 and 1,122,738

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Solution

The third proportional to 733,902 and 1,122,738 is: 1,717,587.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,902 : 1,122,738 = 1,122,738 : x
  2. Step 2: Convert to fraction form
    733,902/1,122,738 = 1,122,738/x
  3. Step 3: Cross multiply
    733,902x = 1,122,738 × 1,122,738
  4. Step 4: Simplify right side
    733,902x = 1,260,540,616,644
  5. Step 5: Solve for x
    x = 1,260,540,616,644/733,902
  6. Step 6: Final answer
    x = 1,717,587.11

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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.