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Finding the Third Proportional to 560,992 and 1,234,148

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Solution

The third proportional to 560,992 and 1,234,148 is: 2,715,049.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,992 : 1,234,148 = 1,234,148 : x
  2. Step 2: Convert to fraction form
    560,992/1,234,148 = 1,234,148/x
  3. Step 3: Cross multiply
    560,992x = 1,234,148 × 1,234,148
  4. Step 4: Simplify right side
    560,992x = 1,523,121,285,904
  5. Step 5: Solve for x
    x = 1,523,121,285,904/560,992
  6. Step 6: Final answer
    x = 2,715,049.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.