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Finding the Third Proportional to 787,680 and 1,727,844

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Solution

The third proportional to 787,680 and 1,727,844 is: 3,790,174.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,680 : 1,727,844 = 1,727,844 : x
  2. Step 2: Convert to fraction form
    787,680/1,727,844 = 1,727,844/x
  3. Step 3: Cross multiply
    787,680x = 1,727,844 × 1,727,844
  4. Step 4: Simplify right side
    787,680x = 2,985,444,888,336
  5. Step 5: Solve for x
    x = 2,985,444,888,336/787,680
  6. Step 6: Final answer
    x = 3,790,174.80

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.