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Finding the Third Proportional to 460,067.50 and 1,005,427

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Solution

The third proportional to 460,067.50 and 1,005,427 is: 2,197,250.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,067.50 : 1,005,427 = 1,005,427 : x
  2. Step 2: Convert to fraction form
    460,067.50/1,005,427 = 1,005,427/x
  3. Step 3: Cross multiply
    460,067.50x = 1,005,427 × 1,005,427
  4. Step 4: Simplify right side
    460,067.50x = 1,010,883,452,329
  5. Step 5: Solve for x
    x = 1,010,883,452,329/460,067.50
  6. Step 6: Final answer
    x = 2,197,250.30

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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.