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Finding the Third Proportional to 963,841.69 and 2,116,865.25

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Solution

The third proportional to 963,841.69 and 2,116,865.25 is: 4,649,226.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,841.69 : 2,116,865.25 = 2,116,865.25 : x
  2. Step 2: Convert to fraction form
    963,841.69/2,116,865.25 = 2,116,865.25/x
  3. Step 3: Cross multiply
    963,841.69x = 2,116,865.25 × 2,116,865.25
  4. Step 4: Simplify right side
    963,841.69x = 4,481,118,486,657.56
  5. Step 5: Solve for x
    x = 4,481,118,486,657.56/963,841.69
  6. Step 6: Final answer
    x = 4,649,226.68

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.