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Finding the Third Proportional to 791,830.69 and 1,728,857.67

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Solution

The third proportional to 791,830.69 and 1,728,857.67 is: 3,774,732.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,830.69 : 1,728,857.67 = 1,728,857.67 : x
  2. Step 2: Convert to fraction form
    791,830.69/1,728,857.67 = 1,728,857.67/x
  3. Step 3: Cross multiply
    791,830.69x = 1,728,857.67 × 1,728,857.67
  4. Step 4: Simplify right side
    791,830.69x = 2,988,948,849,601.05
  5. Step 5: Solve for x
    x = 2,988,948,849,601.05/791,830.69
  6. Step 6: Final answer
    x = 3,774,732.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.