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Finding the Third Proportional to 977,548.50 and 2,102,203.13

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Solution

The third proportional to 977,548.50 and 2,102,203.13 is: 4,520,755.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,548.50 : 2,102,203.13 = 2,102,203.13 : x
  2. Step 2: Convert to fraction form
    977,548.50/2,102,203.13 = 2,102,203.13/x
  3. Step 3: Cross multiply
    977,548.50x = 2,102,203.13 × 2,102,203.13
  4. Step 4: Simplify right side
    977,548.50x = 4,419,257,978,759.77
  5. Step 5: Solve for x
    x = 4,419,257,978,759.77/977,548.50
  6. Step 6: Final answer
    x = 4,520,755.73

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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.