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Finding the Third Proportional to 1,166,334.75 and 1,904,509.13

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Solution

The third proportional to 1,166,334.75 and 1,904,509.13 is: 3,109,874.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166,334.75 : 1,904,509.13 = 1,904,509.13 : x
  2. Step 2: Convert to fraction form
    1,166,334.75/1,904,509.13 = 1,904,509.13/x
  3. Step 3: Cross multiply
    1,166,334.75x = 1,904,509.13 × 1,904,509.13
  4. Step 4: Simplify right side
    1,166,334.75x = 3,627,155,007,208.27
  5. Step 5: Solve for x
    x = 3,627,155,007,208.27/1,166,334.75
  6. Step 6: Final answer
    x = 3,109,874.77

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.