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Finding the Third Proportional to 858,096 and 1,165,401

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Solution

The third proportional to 858,096 and 1,165,401 is: 1,582,759.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,096 : 1,165,401 = 1,165,401 : x
  2. Step 2: Convert to fraction form
    858,096/1,165,401 = 1,165,401/x
  3. Step 3: Cross multiply
    858,096x = 1,165,401 × 1,165,401
  4. Step 4: Simplify right side
    858,096x = 1,358,159,490,801
  5. Step 5: Solve for x
    x = 1,358,159,490,801/858,096
  6. Step 6: Final answer
    x = 1,582,759.38

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.