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Finding the Third Proportional to 830,766 and 1,787,892

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Solution

The third proportional to 830,766 and 1,787,892 is: 3,847,723.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,766 : 1,787,892 = 1,787,892 : x
  2. Step 2: Convert to fraction form
    830,766/1,787,892 = 1,787,892/x
  3. Step 3: Cross multiply
    830,766x = 1,787,892 × 1,787,892
  4. Step 4: Simplify right side
    830,766x = 3,196,557,803,664
  5. Step 5: Solve for x
    x = 3,196,557,803,664/830,766
  6. Step 6: Final answer
    x = 3,847,723.43

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