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Finding the Third Proportional to 1,649,626.50 and 3,450,082.50

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Solution

The third proportional to 1,649,626.50 and 3,450,082.50 is: 7,215,614.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649,626.50 : 3,450,082.50 = 3,450,082.50 : x
  2. Step 2: Convert to fraction form
    1,649,626.50/3,450,082.50 = 3,450,082.50/x
  3. Step 3: Cross multiply
    1,649,626.50x = 3,450,082.50 × 3,450,082.50
  4. Step 4: Simplify right side
    1,649,626.50x = 11,903,069,256,806.25
  5. Step 5: Solve for x
    x = 11,903,069,256,806.25/1,649,626.50
  6. Step 6: Final answer
    x = 7,215,614.72

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.