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Finding the Third Proportional to 701,971.50 and 1,516,024.50

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Solution

The third proportional to 701,971.50 and 1,516,024.50 is: 3,274,107.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,971.50 : 1,516,024.50 = 1,516,024.50 : x
  2. Step 2: Convert to fraction form
    701,971.50/1,516,024.50 = 1,516,024.50/x
  3. Step 3: Cross multiply
    701,971.50x = 1,516,024.50 × 1,516,024.50
  4. Step 4: Simplify right side
    701,971.50x = 2,298,330,284,600.25
  5. Step 5: Solve for x
    x = 2,298,330,284,600.25/701,971.50
  6. Step 6: Final answer
    x = 3,274,107.69

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.