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Finding the Third Proportional to 858,108 and 1,165,407

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Solution

The third proportional to 858,108 and 1,165,407 is: 1,582,753.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,108 : 1,165,407 = 1,165,407 : x
  2. Step 2: Convert to fraction form
    858,108/1,165,407 = 1,165,407/x
  3. Step 3: Cross multiply
    858,108x = 1,165,407 × 1,165,407
  4. Step 4: Simplify right side
    858,108x = 1,358,173,475,649
  5. Step 5: Solve for x
    x = 1,358,173,475,649/858,108
  6. Step 6: Final answer
    x = 1,582,753.54

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Why These Related Problems?

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