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Finding the Third Proportional to 666,715 and 1,059,123

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Solution

The third proportional to 666,715 and 1,059,123 is: 1,682,490.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,715 : 1,059,123 = 1,059,123 : x
  2. Step 2: Convert to fraction form
    666,715/1,059,123 = 1,059,123/x
  3. Step 3: Cross multiply
    666,715x = 1,059,123 × 1,059,123
  4. Step 4: Simplify right side
    666,715x = 1,121,741,529,129
  5. Step 5: Solve for x
    x = 1,121,741,529,129/666,715
  6. Step 6: Final answer
    x = 1,682,490.31

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.