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Finding the Third Proportional to 561,514 and 1,228,004

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Solution

The third proportional to 561,514 and 1,228,004 is: 2,685,585.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,514 : 1,228,004 = 1,228,004 : x
  2. Step 2: Convert to fraction form
    561,514/1,228,004 = 1,228,004/x
  3. Step 3: Cross multiply
    561,514x = 1,228,004 × 1,228,004
  4. Step 4: Simplify right side
    561,514x = 1,507,993,824,016
  5. Step 5: Solve for x
    x = 1,507,993,824,016/561,514
  6. Step 6: Final answer
    x = 2,685,585.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.