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Finding the Third Proportional to 843,118 and 1,233,123

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Solution

The third proportional to 843,118 and 1,233,123 is: 1,803,534.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,118 : 1,233,123 = 1,233,123 : x
  2. Step 2: Convert to fraction form
    843,118/1,233,123 = 1,233,123/x
  3. Step 3: Cross multiply
    843,118x = 1,233,123 × 1,233,123
  4. Step 4: Simplify right side
    843,118x = 1,520,592,333,129
  5. Step 5: Solve for x
    x = 1,520,592,333,129/843,118
  6. Step 6: Final answer
    x = 1,803,534.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.