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Finding the Third Proportional to 968,856 and 2,262,961.50

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Solution

The third proportional to 968,856 and 2,262,961.50 is: 5,285,609.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,856 : 2,262,961.50 = 2,262,961.50 : x
  2. Step 2: Convert to fraction form
    968,856/2,262,961.50 = 2,262,961.50/x
  3. Step 3: Cross multiply
    968,856x = 2,262,961.50 × 2,262,961.50
  4. Step 4: Simplify right side
    968,856x = 5,120,994,750,482.25
  5. Step 5: Solve for x
    x = 5,120,994,750,482.25/968,856
  6. Step 6: Final answer
    x = 5,285,609.78

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.