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Finding the Third Proportional to 1,268,529.75 and 2,661,615.56

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Solution

The third proportional to 1,268,529.75 and 2,661,615.56 is: 5,584,573.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268,529.75 : 2,661,615.56 = 2,661,615.56 : x
  2. Step 2: Convert to fraction form
    1,268,529.75/2,661,615.56 = 2,661,615.56/x
  3. Step 3: Cross multiply
    1,268,529.75x = 2,661,615.56 × 2,661,615.56
  4. Step 4: Simplify right side
    1,268,529.75x = 7,084,197,402,542.19
  5. Step 5: Solve for x
    x = 7,084,197,402,542.19/1,268,529.75
  6. Step 6: Final answer
    x = 5,584,573.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.