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Finding the Third Proportional to 760,421.25 and 1,661,073.75

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Solution

The third proportional to 760,421.25 and 1,661,073.75 is: 3,628,470.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,421.25 : 1,661,073.75 = 1,661,073.75 : x
  2. Step 2: Convert to fraction form
    760,421.25/1,661,073.75 = 1,661,073.75/x
  3. Step 3: Cross multiply
    760,421.25x = 1,661,073.75 × 1,661,073.75
  4. Step 4: Simplify right side
    760,421.25x = 2,759,166,002,939.06
  5. Step 5: Solve for x
    x = 2,759,166,002,939.06/760,421.25
  6. Step 6: Final answer
    x = 3,628,470.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.