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Finding the Third Proportional to 567,580 and 1,223,744

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Solution

The third proportional to 567,580 and 1,223,744 is: 2,638,481.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,580 : 1,223,744 = 1,223,744 : x
  2. Step 2: Convert to fraction form
    567,580/1,223,744 = 1,223,744/x
  3. Step 3: Cross multiply
    567,580x = 1,223,744 × 1,223,744
  4. Step 4: Simplify right side
    567,580x = 1,497,549,377,536
  5. Step 5: Solve for x
    x = 1,497,549,377,536/567,580
  6. Step 6: Final answer
    x = 2,638,481.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.