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Finding the Third Proportional to 1,964,463.75 and 2,954,007

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Solution

The third proportional to 1,964,463.75 and 2,954,007 is: 4,442,004.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964,463.75 : 2,954,007 = 2,954,007 : x
  2. Step 2: Convert to fraction form
    1,964,463.75/2,954,007 = 2,954,007/x
  3. Step 3: Cross multiply
    1,964,463.75x = 2,954,007 × 2,954,007
  4. Step 4: Simplify right side
    1,964,463.75x = 8,726,157,356,049
  5. Step 5: Solve for x
    x = 8,726,157,356,049/1,964,463.75
  6. Step 6: Final answer
    x = 4,442,004.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.