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Finding the Third Proportional to 651,719.25 and 1,363,025.25

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Solution

The third proportional to 651,719.25 and 1,363,025.25 is: 2,850,672.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,719.25 : 1,363,025.25 = 1,363,025.25 : x
  2. Step 2: Convert to fraction form
    651,719.25/1,363,025.25 = 1,363,025.25/x
  3. Step 3: Cross multiply
    651,719.25x = 1,363,025.25 × 1,363,025.25
  4. Step 4: Simplify right side
    651,719.25x = 1,857,837,832,137.56
  5. Step 5: Solve for x
    x = 1,857,837,832,137.56/651,719.25
  6. Step 6: Final answer
    x = 2,850,672.02

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.