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Finding the Third Proportional to 952,096 and 1,391,657

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Solution

The third proportional to 952,096 and 1,391,657 is: 2,034,153.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,096 : 1,391,657 = 1,391,657 : x
  2. Step 2: Convert to fraction form
    952,096/1,391,657 = 1,391,657/x
  3. Step 3: Cross multiply
    952,096x = 1,391,657 × 1,391,657
  4. Step 4: Simplify right side
    952,096x = 1,936,709,205,649
  5. Step 5: Solve for x
    x = 1,936,709,205,649/952,096
  6. Step 6: Final answer
    x = 2,034,153.28

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