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Finding the Third Proportional to 2,606,868.50 and 5,452,082.50

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Solution

The third proportional to 2,606,868.50 and 5,452,082.50 is: 11,402,647.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606,868.50 : 5,452,082.50 = 5,452,082.50 : x
  2. Step 2: Convert to fraction form
    2,606,868.50/5,452,082.50 = 5,452,082.50/x
  3. Step 3: Cross multiply
    2,606,868.50x = 5,452,082.50 × 5,452,082.50
  4. Step 4: Simplify right side
    2,606,868.50x = 29,725,203,586,806.25
  5. Step 5: Solve for x
    x = 29,725,203,586,806.25/2,606,868.50
  6. Step 6: Final answer
    x = 11,402,647.88

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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.