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Finding the Third Proportional to 675,664.50 and 1,468,147.50

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Solution

The third proportional to 675,664.50 and 1,468,147.50 is: 3,190,129.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,664.50 : 1,468,147.50 = 1,468,147.50 : x
  2. Step 2: Convert to fraction form
    675,664.50/1,468,147.50 = 1,468,147.50/x
  3. Step 3: Cross multiply
    675,664.50x = 1,468,147.50 × 1,468,147.50
  4. Step 4: Simplify right side
    675,664.50x = 2,155,457,081,756.25
  5. Step 5: Solve for x
    x = 2,155,457,081,756.25/675,664.50
  6. Step 6: Final answer
    x = 3,190,129.25

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.