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Finding the Third Proportional to 733,840 and 1,122,644

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Solution

The third proportional to 733,840 and 1,122,644 is: 1,717,444.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,840 : 1,122,644 = 1,122,644 : x
  2. Step 2: Convert to fraction form
    733,840/1,122,644 = 1,122,644/x
  3. Step 3: Cross multiply
    733,840x = 1,122,644 × 1,122,644
  4. Step 4: Simplify right side
    733,840x = 1,260,329,550,736
  5. Step 5: Solve for x
    x = 1,260,329,550,736/733,840
  6. Step 6: Final answer
    x = 1,717,444.61

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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.