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Finding the Third Proportional to 682,271,617.50 and 1,048,052,659.50

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Solution

The third proportional to 682,271,617.50 and 1,048,052,659.50 is: 1,609,937,082.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,271,617.50 : 1,048,052,659.50 = 1,048,052,659.50 : x
  2. Step 2: Convert to fraction form
    682,271,617.50/1,048,052,659.50 = 1,048,052,659.50/x
  3. Step 3: Cross multiply
    682,271,617.50x = 1,048,052,659.50 × 1,048,052,659.50
  4. Step 4: Simplify right side
    682,271,617.50x = 1,098,414,377,085,022,976
  5. Step 5: Solve for x
    x = 1,098,414,377,085,022,976/682,271,617.50
  6. Step 6: Final answer
    x = 1,609,937,082.11

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.