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Finding the Third Proportional to 965,082.09 and 2,089,017.84

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Solution

The third proportional to 965,082.09 and 2,089,017.84 is: 4,521,890.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,082.09 : 2,089,017.84 = 2,089,017.84 : x
  2. Step 2: Convert to fraction form
    965,082.09/2,089,017.84 = 2,089,017.84/x
  3. Step 3: Cross multiply
    965,082.09x = 2,089,017.84 × 2,089,017.84
  4. Step 4: Simplify right side
    965,082.09x = 4,363,995,551,505.90
  5. Step 5: Solve for x
    x = 4,363,995,551,505.90/965,082.09
  6. Step 6: Final answer
    x = 4,521,890.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.