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Finding the Third Proportional to 748,615.50 and 1,609,321.50

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Solution

The third proportional to 748,615.50 and 1,609,321.50 is: 3,459,607.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,615.50 : 1,609,321.50 = 1,609,321.50 : x
  2. Step 2: Convert to fraction form
    748,615.50/1,609,321.50 = 1,609,321.50/x
  3. Step 3: Cross multiply
    748,615.50x = 1,609,321.50 × 1,609,321.50
  4. Step 4: Simplify right side
    748,615.50x = 2,589,915,690,362.25
  5. Step 5: Solve for x
    x = 2,589,915,690,362.25/748,615.50
  6. Step 6: Final answer
    x = 3,459,607.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.