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Finding the Third Proportional to 545,601 and 1,184,514

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Solution

The third proportional to 545,601 and 1,184,514 is: 2,571,610.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,601 : 1,184,514 = 1,184,514 : x
  2. Step 2: Convert to fraction form
    545,601/1,184,514 = 1,184,514/x
  3. Step 3: Cross multiply
    545,601x = 1,184,514 × 1,184,514
  4. Step 4: Simplify right side
    545,601x = 1,403,073,416,196
  5. Step 5: Solve for x
    x = 1,403,073,416,196/545,601
  6. Step 6: Final answer
    x = 2,571,610.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.