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Finding the Third Proportional to 947,924 and 2,105,800

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Solution

The third proportional to 947,924 and 2,105,800 is: 4,678,005.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,924 : 2,105,800 = 2,105,800 : x
  2. Step 2: Convert to fraction form
    947,924/2,105,800 = 2,105,800/x
  3. Step 3: Cross multiply
    947,924x = 2,105,800 × 2,105,800
  4. Step 4: Simplify right side
    947,924x = 4,434,393,640,000
  5. Step 5: Solve for x
    x = 4,434,393,640,000/947,924
  6. Step 6: Final answer
    x = 4,678,005.45

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.