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Finding the Third Proportional to 675,097.75 and 1,593,632.50

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Solution

The third proportional to 675,097.75 and 1,593,632.50 is: 3,761,921.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,097.75 : 1,593,632.50 = 1,593,632.50 : x
  2. Step 2: Convert to fraction form
    675,097.75/1,593,632.50 = 1,593,632.50/x
  3. Step 3: Cross multiply
    675,097.75x = 1,593,632.50 × 1,593,632.50
  4. Step 4: Simplify right side
    675,097.75x = 2,539,664,545,056.25
  5. Step 5: Solve for x
    x = 2,539,664,545,056.25/675,097.75
  6. Step 6: Final answer
    x = 3,761,921.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.