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Finding the Third Proportional to 3,269,412 and 4,488,007.50

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Solution

The third proportional to 3,269,412 and 4,488,007.50 is: 6,160,805.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269,412 : 4,488,007.50 = 4,488,007.50 : x
  2. Step 2: Convert to fraction form
    3,269,412/4,488,007.50 = 4,488,007.50/x
  3. Step 3: Cross multiply
    3,269,412x = 4,488,007.50 × 4,488,007.50
  4. Step 4: Simplify right side
    3,269,412x = 20,142,211,320,056.25
  5. Step 5: Solve for x
    x = 20,142,211,320,056.25/3,269,412
  6. Step 6: Final answer
    x = 6,160,805.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.