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Finding the Third Proportional to 968,851 and 2,262,953.50

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Solution

The third proportional to 968,851 and 2,262,953.50 is: 5,285,599.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,851 : 2,262,953.50 = 2,262,953.50 : x
  2. Step 2: Convert to fraction form
    968,851/2,262,953.50 = 2,262,953.50/x
  3. Step 3: Cross multiply
    968,851x = 2,262,953.50 × 2,262,953.50
  4. Step 4: Simplify right side
    968,851x = 5,120,958,543,162.25
  5. Step 5: Solve for x
    x = 5,120,958,543,162.25/968,851
  6. Step 6: Final answer
    x = 5,285,599.69

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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.