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Finding the Third Proportional to 834,387 and 1,794,567

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Solution

The third proportional to 834,387 and 1,794,567 is: 3,859,684.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,387 : 1,794,567 = 1,794,567 : x
  2. Step 2: Convert to fraction form
    834,387/1,794,567 = 1,794,567/x
  3. Step 3: Cross multiply
    834,387x = 1,794,567 × 1,794,567
  4. Step 4: Simplify right side
    834,387x = 3,220,470,717,489
  5. Step 5: Solve for x
    x = 3,220,470,717,489/834,387
  6. Step 6: Final answer
    x = 3,859,684.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.