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Finding the Third Proportional to 705,676 and 1,060,108

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Solution

The third proportional to 705,676 and 1,060,108 is: 1,592,556.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,676 : 1,060,108 = 1,060,108 : x
  2. Step 2: Convert to fraction form
    705,676/1,060,108 = 1,060,108/x
  3. Step 3: Cross multiply
    705,676x = 1,060,108 × 1,060,108
  4. Step 4: Simplify right side
    705,676x = 1,123,828,971,664
  5. Step 5: Solve for x
    x = 1,123,828,971,664/705,676
  6. Step 6: Final answer
    x = 1,592,556.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.