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Finding the Third Proportional to 777,127.50 and 1,672,352.25

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Solution

The third proportional to 777,127.50 and 1,672,352.25 is: 3,598,845.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,127.50 : 1,672,352.25 = 1,672,352.25 : x
  2. Step 2: Convert to fraction form
    777,127.50/1,672,352.25 = 1,672,352.25/x
  3. Step 3: Cross multiply
    777,127.50x = 1,672,352.25 × 1,672,352.25
  4. Step 4: Simplify right side
    777,127.50x = 2,796,762,048,080.06
  5. Step 5: Solve for x
    x = 2,796,762,048,080.06/777,127.50
  6. Step 6: Final answer
    x = 3,598,845.81

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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.