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Finding the Third Proportional to 605,520 and 1,427,380.50

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Solution

The third proportional to 605,520 and 1,427,380.50 is: 3,364,736.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,520 : 1,427,380.50 = 1,427,380.50 : x
  2. Step 2: Convert to fraction form
    605,520/1,427,380.50 = 1,427,380.50/x
  3. Step 3: Cross multiply
    605,520x = 1,427,380.50 × 1,427,380.50
  4. Step 4: Simplify right side
    605,520x = 2,037,415,091,780.25
  5. Step 5: Solve for x
    x = 2,037,415,091,780.25/605,520
  6. Step 6: Final answer
    x = 3,364,736.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.