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Finding the Third Proportional to 1,023,458 and 1,619,427

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Solution

The third proportional to 1,023,458 and 1,619,427 is: 2,562,434.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,458 : 1,619,427 = 1,619,427 : x
  2. Step 2: Convert to fraction form
    1,023,458/1,619,427 = 1,619,427/x
  3. Step 3: Cross multiply
    1,023,458x = 1,619,427 × 1,619,427
  4. Step 4: Simplify right side
    1,023,458x = 2,622,543,808,329
  5. Step 5: Solve for x
    x = 2,622,543,808,329/1,023,458
  6. Step 6: Final answer
    x = 2,562,434.23

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.