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Finding the Third Proportional to 501,379 and 1,094,222

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Solution

The third proportional to 501,379 and 1,094,222 is: 2,388,057.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,379 : 1,094,222 = 1,094,222 : x
  2. Step 2: Convert to fraction form
    501,379/1,094,222 = 1,094,222/x
  3. Step 3: Cross multiply
    501,379x = 1,094,222 × 1,094,222
  4. Step 4: Simplify right side
    501,379x = 1,197,321,785,284
  5. Step 5: Solve for x
    x = 1,197,321,785,284/501,379
  6. Step 6: Final answer
    x = 2,388,057.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.