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Finding the Third Proportional to 3,004,960.78 and 4,659,904.69

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Solution

The third proportional to 3,004,960.78 and 4,659,904.69 is: 7,226,287.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004,960.78 : 4,659,904.69 = 4,659,904.69 : x
  2. Step 2: Convert to fraction form
    3,004,960.78/4,659,904.69 = 4,659,904.69/x
  3. Step 3: Cross multiply
    3,004,960.78x = 4,659,904.69 × 4,659,904.69
  4. Step 4: Simplify right side
    3,004,960.78x = 21,714,711,696,584.47
  5. Step 5: Solve for x
    x = 21,714,711,696,584.47/3,004,960.78
  6. Step 6: Final answer
    x = 7,226,287.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.