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Finding the Third Proportional to 1,493,291.25 and 3,257,824.50

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Solution

The third proportional to 1,493,291.25 and 3,257,824.50 is: 7,107,401.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493,291.25 : 3,257,824.50 = 3,257,824.50 : x
  2. Step 2: Convert to fraction form
    1,493,291.25/3,257,824.50 = 3,257,824.50/x
  3. Step 3: Cross multiply
    1,493,291.25x = 3,257,824.50 × 3,257,824.50
  4. Step 4: Simplify right side
    1,493,291.25x = 10,613,420,472,800.25
  5. Step 5: Solve for x
    x = 10,613,420,472,800.25/1,493,291.25
  6. Step 6: Final answer
    x = 7,107,401.50

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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.