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Finding the Third Proportional to 947,249 and 1,285,963

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Solution

The third proportional to 947,249 and 1,285,963 is: 1,745,793.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,249 : 1,285,963 = 1,285,963 : x
  2. Step 2: Convert to fraction form
    947,249/1,285,963 = 1,285,963/x
  3. Step 3: Cross multiply
    947,249x = 1,285,963 × 1,285,963
  4. Step 4: Simplify right side
    947,249x = 1,653,700,837,369
  5. Step 5: Solve for x
    x = 1,653,700,837,369/947,249
  6. Step 6: Final answer
    x = 1,745,793.17

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.