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Finding the Third Proportional to 544,004 and 844,422

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Solution

The third proportional to 544,004 and 844,422 is: 1,310,741.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,004 : 844,422 = 844,422 : x
  2. Step 2: Convert to fraction form
    544,004/844,422 = 844,422/x
  3. Step 3: Cross multiply
    544,004x = 844,422 × 844,422
  4. Step 4: Simplify right side
    544,004x = 713,048,514,084
  5. Step 5: Solve for x
    x = 713,048,514,084/544,004
  6. Step 6: Final answer
    x = 1,310,741.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.