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Finding the Third Proportional to 796,938.75 and 1,719,822.38

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Solution

The third proportional to 796,938.75 and 1,719,822.38 is: 3,711,438.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,938.75 : 1,719,822.38 = 1,719,822.38 : x
  2. Step 2: Convert to fraction form
    796,938.75/1,719,822.38 = 1,719,822.38/x
  3. Step 3: Cross multiply
    796,938.75x = 1,719,822.38 × 1,719,822.38
  4. Step 4: Simplify right side
    796,938.75x = 2,957,789,001,550.64
  5. Step 5: Solve for x
    x = 2,957,789,001,550.64/796,938.75
  6. Step 6: Final answer
    x = 3,711,438.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.