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Finding the Third Proportional to 1,763,697.80 and 2,577,493.41

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Solution

The third proportional to 1,763,697.80 and 2,577,493.41 is: 3,766,786.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763,697.80 : 2,577,493.41 = 2,577,493.41 : x
  2. Step 2: Convert to fraction form
    1,763,697.80/2,577,493.41 = 2,577,493.41/x
  3. Step 3: Cross multiply
    1,763,697.80x = 2,577,493.41 × 2,577,493.41
  4. Step 4: Simplify right side
    1,763,697.80x = 6,643,472,259,262.23
  5. Step 5: Solve for x
    x = 6,643,472,259,262.23/1,763,697.80
  6. Step 6: Final answer
    x = 3,766,786.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.