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Finding the Third Proportional to 2,308,474.69 and 3,449,784.94

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Solution

The third proportional to 2,308,474.69 and 3,449,784.94 is: 5,155,359.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308,474.69 : 3,449,784.94 = 3,449,784.94 : x
  2. Step 2: Convert to fraction form
    2,308,474.69/3,449,784.94 = 3,449,784.94/x
  3. Step 3: Cross multiply
    2,308,474.69x = 3,449,784.94 × 3,449,784.94
  4. Step 4: Simplify right side
    2,308,474.69x = 11,901,016,115,001.88
  5. Step 5: Solve for x
    x = 11,901,016,115,001.88/2,308,474.69
  6. Step 6: Final answer
    x = 5,155,359.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.