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Finding the Third Proportional to 559,915 and 1,213,142

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Solution

The third proportional to 559,915 and 1,213,142 is: 2,628,458.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,915 : 1,213,142 = 1,213,142 : x
  2. Step 2: Convert to fraction form
    559,915/1,213,142 = 1,213,142/x
  3. Step 3: Cross multiply
    559,915x = 1,213,142 × 1,213,142
  4. Step 4: Simplify right side
    559,915x = 1,471,713,512,164
  5. Step 5: Solve for x
    x = 1,471,713,512,164/559,915
  6. Step 6: Final answer
    x = 2,628,458.81

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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.