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Finding the Third Proportional to 733,888 and 1,122,712

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Solution

The third proportional to 733,888 and 1,122,712 is: 1,717,540.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,888 : 1,122,712 = 1,122,712 : x
  2. Step 2: Convert to fraction form
    733,888/1,122,712 = 1,122,712/x
  3. Step 3: Cross multiply
    733,888x = 1,122,712 × 1,122,712
  4. Step 4: Simplify right side
    733,888x = 1,260,482,234,944
  5. Step 5: Solve for x
    x = 1,260,482,234,944/733,888
  6. Step 6: Final answer
    x = 1,717,540.33

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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.