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Finding the Third Proportional to 559,298 and 1,211,908

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Solution

The third proportional to 559,298 and 1,211,908 is: 2,626,007.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,298 : 1,211,908 = 1,211,908 : x
  2. Step 2: Convert to fraction form
    559,298/1,211,908 = 1,211,908/x
  3. Step 3: Cross multiply
    559,298x = 1,211,908 × 1,211,908
  4. Step 4: Simplify right side
    559,298x = 1,468,721,000,464
  5. Step 5: Solve for x
    x = 1,468,721,000,464/559,298
  6. Step 6: Final answer
    x = 2,626,007.96

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Why These Related Problems?

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