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Finding the Third Proportional to 834,355.69 and 1,794,463.88

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Solution

The third proportional to 834,355.69 and 1,794,463.88 is: 3,859,385.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,355.69 : 1,794,463.88 = 1,794,463.88 : x
  2. Step 2: Convert to fraction form
    834,355.69/1,794,463.88 = 1,794,463.88/x
  3. Step 3: Cross multiply
    834,355.69x = 1,794,463.88 × 1,794,463.88
  4. Step 4: Simplify right side
    834,355.69x = 3,220,100,598,680.02
  5. Step 5: Solve for x
    x = 3,220,100,598,680.02/834,355.69
  6. Step 6: Final answer
    x = 3,859,385.93

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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.