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Finding the Third Proportional to 565,545 and 1,212,046.50

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Solution

The third proportional to 565,545 and 1,212,046.50 is: 2,597,594.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,545 : 1,212,046.50 = 1,212,046.50 : x
  2. Step 2: Convert to fraction form
    565,545/1,212,046.50 = 1,212,046.50/x
  3. Step 3: Cross multiply
    565,545x = 1,212,046.50 × 1,212,046.50
  4. Step 4: Simplify right side
    565,545x = 1,469,056,718,162.25
  5. Step 5: Solve for x
    x = 1,469,056,718,162.25/565,545
  6. Step 6: Final answer
    x = 2,597,594.74

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.