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Finding the Third Proportional to 962,676 and 1,496,663

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Solution

The third proportional to 962,676 and 1,496,663 is: 2,326,847.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,676 : 1,496,663 = 1,496,663 : x
  2. Step 2: Convert to fraction form
    962,676/1,496,663 = 1,496,663/x
  3. Step 3: Cross multiply
    962,676x = 1,496,663 × 1,496,663
  4. Step 4: Simplify right side
    962,676x = 2,240,000,135,569
  5. Step 5: Solve for x
    x = 2,240,000,135,569/962,676
  6. Step 6: Final answer
    x = 2,326,847.39

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.