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Finding the Third Proportional to 998,742 and 1,565,050

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Solution

The third proportional to 998,742 and 1,565,050 is: 2,452,466.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,742 : 1,565,050 = 1,565,050 : x
  2. Step 2: Convert to fraction form
    998,742/1,565,050 = 1,565,050/x
  3. Step 3: Cross multiply
    998,742x = 1,565,050 × 1,565,050
  4. Step 4: Simplify right side
    998,742x = 2,449,381,502,500
  5. Step 5: Solve for x
    x = 2,449,381,502,500/998,742
  6. Step 6: Final answer
    x = 2,452,466.71

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.