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Finding the Third Proportional to 858,500 and 1,695,380

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Solution

The third proportional to 858,500 and 1,695,380 is: 3,348,064.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,500 : 1,695,380 = 1,695,380 : x
  2. Step 2: Convert to fraction form
    858,500/1,695,380 = 1,695,380/x
  3. Step 3: Cross multiply
    858,500x = 1,695,380 × 1,695,380
  4. Step 4: Simplify right side
    858,500x = 2,874,313,344,400
  5. Step 5: Solve for x
    x = 2,874,313,344,400/858,500
  6. Step 6: Final answer
    x = 3,348,064.47

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.