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Finding the Third Proportional to 1,420,672.50 and 2,525,789.25

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Solution

The third proportional to 1,420,672.50 and 2,525,789.25 is: 4,490,557.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420,672.50 : 2,525,789.25 = 2,525,789.25 : x
  2. Step 2: Convert to fraction form
    1,420,672.50/2,525,789.25 = 2,525,789.25/x
  3. Step 3: Cross multiply
    1,420,672.50x = 2,525,789.25 × 2,525,789.25
  4. Step 4: Simplify right side
    1,420,672.50x = 6,379,611,335,415.56
  5. Step 5: Solve for x
    x = 6,379,611,335,415.56/1,420,672.50
  6. Step 6: Final answer
    x = 4,490,557.35

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.