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Finding the Third Proportional to 559,296 and 1,211,904

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Solution

The third proportional to 559,296 and 1,211,904 is: 2,626,000.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,296 : 1,211,904 = 1,211,904 : x
  2. Step 2: Convert to fraction form
    559,296/1,211,904 = 1,211,904/x
  3. Step 3: Cross multiply
    559,296x = 1,211,904 × 1,211,904
  4. Step 4: Simplify right side
    559,296x = 1,468,711,305,216
  5. Step 5: Solve for x
    x = 1,468,711,305,216/559,296
  6. Step 6: Final answer
    x = 2,626,000.02

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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.