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Finding the Third Proportional to 698,519 and 1,067,827

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Solution

The third proportional to 698,519 and 1,067,827 is: 1,632,388.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,519 : 1,067,827 = 1,067,827 : x
  2. Step 2: Convert to fraction form
    698,519/1,067,827 = 1,067,827/x
  3. Step 3: Cross multiply
    698,519x = 1,067,827 × 1,067,827
  4. Step 4: Simplify right side
    698,519x = 1,140,254,501,929
  5. Step 5: Solve for x
    x = 1,140,254,501,929/698,519
  6. Step 6: Final answer
    x = 1,632,388.67

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.