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Finding the Third Proportional to 2,725,672.50 and 5,928,597

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Solution

The third proportional to 2,725,672.50 and 5,928,597 is: 12,895,262.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725,672.50 : 5,928,597 = 5,928,597 : x
  2. Step 2: Convert to fraction form
    2,725,672.50/5,928,597 = 5,928,597/x
  3. Step 3: Cross multiply
    2,725,672.50x = 5,928,597 × 5,928,597
  4. Step 4: Simplify right side
    2,725,672.50x = 35,148,262,388,409
  5. Step 5: Solve for x
    x = 35,148,262,388,409/2,725,672.50
  6. Step 6: Final answer
    x = 12,895,262.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.