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Finding the Third Proportional to 682,271,620.50 and 1,048,052,671

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Solution

The third proportional to 682,271,620.50 and 1,048,052,671 is: 1,609,937,110.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,271,620.50 : 1,048,052,671 = 1,048,052,671 : x
  2. Step 2: Convert to fraction form
    682,271,620.50/1,048,052,671 = 1,048,052,671/x
  3. Step 3: Cross multiply
    682,271,620.50x = 1,048,052,671 × 1,048,052,671
  4. Step 4: Simplify right side
    682,271,620.50x = 1,098,414,401,190,234,240
  5. Step 5: Solve for x
    x = 1,098,414,401,190,234,240/682,271,620.50
  6. Step 6: Final answer
    x = 1,609,937,110.36

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Why These Related Problems?

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