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Finding the Third Proportional to 3,303,009 and 4,651,393.50

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Solution

The third proportional to 3,303,009 and 4,651,393.50 is: 6,550,227.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,303,009 : 4,651,393.50 = 4,651,393.50 : x
  2. Step 2: Convert to fraction form
    3,303,009/4,651,393.50 = 4,651,393.50/x
  3. Step 3: Cross multiply
    3,303,009x = 4,651,393.50 × 4,651,393.50
  4. Step 4: Simplify right side
    3,303,009x = 21,635,461,491,842.25
  5. Step 5: Solve for x
    x = 21,635,461,491,842.25/3,303,009
  6. Step 6: Final answer
    x = 6,550,227.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.