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Finding the Third Proportional to 559,311 and 1,211,934

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Solution

The third proportional to 559,311 and 1,211,934 is: 2,626,059.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,311 : 1,211,934 = 1,211,934 : x
  2. Step 2: Convert to fraction form
    559,311/1,211,934 = 1,211,934/x
  3. Step 3: Cross multiply
    559,311x = 1,211,934 × 1,211,934
  4. Step 4: Simplify right side
    559,311x = 1,468,784,020,356
  5. Step 5: Solve for x
    x = 1,468,784,020,356/559,311
  6. Step 6: Final answer
    x = 2,626,059.60

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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.