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Finding the Third Proportional to 1,026,208.50 and 1,609,809

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Solution

The third proportional to 1,026,208.50 and 1,609,809 is: 2,525,300.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026,208.50 : 1,609,809 = 1,609,809 : x
  2. Step 2: Convert to fraction form
    1,026,208.50/1,609,809 = 1,609,809/x
  3. Step 3: Cross multiply
    1,026,208.50x = 1,609,809 × 1,609,809
  4. Step 4: Simplify right side
    1,026,208.50x = 2,591,485,016,481
  5. Step 5: Solve for x
    x = 2,591,485,016,481/1,026,208.50
  6. Step 6: Final answer
    x = 2,525,300.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.