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Finding the Third Proportional to 491,044.50 and 1,057,176

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Solution

The third proportional to 491,044.50 and 1,057,176 is: 2,276,007.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,044.50 : 1,057,176 = 1,057,176 : x
  2. Step 2: Convert to fraction form
    491,044.50/1,057,176 = 1,057,176/x
  3. Step 3: Cross multiply
    491,044.50x = 1,057,176 × 1,057,176
  4. Step 4: Simplify right side
    491,044.50x = 1,117,621,094,976
  5. Step 5: Solve for x
    x = 1,117,621,094,976/491,044.50
  6. Step 6: Final answer
    x = 2,276,007.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.