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Finding the Third Proportional to 559,344 and 1,212,000

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Solution

The third proportional to 559,344 and 1,212,000 is: 2,626,190.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,344 : 1,212,000 = 1,212,000 : x
  2. Step 2: Convert to fraction form
    559,344/1,212,000 = 1,212,000/x
  3. Step 3: Cross multiply
    559,344x = 1,212,000 × 1,212,000
  4. Step 4: Simplify right side
    559,344x = 1,468,944,000,000
  5. Step 5: Solve for x
    x = 1,468,944,000,000/559,344
  6. Step 6: Final answer
    x = 2,626,190.68

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.