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Finding the Third Proportional to 862,391 and 1,814,150

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Solution

The third proportional to 862,391 and 1,814,150 is: 3,816,297.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,391 : 1,814,150 = 1,814,150 : x
  2. Step 2: Convert to fraction form
    862,391/1,814,150 = 1,814,150/x
  3. Step 3: Cross multiply
    862,391x = 1,814,150 × 1,814,150
  4. Step 4: Simplify right side
    862,391x = 3,291,140,222,500
  5. Step 5: Solve for x
    x = 3,291,140,222,500/862,391
  6. Step 6: Final answer
    x = 3,816,297.04

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.