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Finding the Third Proportional to 504,988 and 1,086,272

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Solution

The third proportional to 504,988 and 1,086,272 is: 2,336,663.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,988 : 1,086,272 = 1,086,272 : x
  2. Step 2: Convert to fraction form
    504,988/1,086,272 = 1,086,272/x
  3. Step 3: Cross multiply
    504,988x = 1,086,272 × 1,086,272
  4. Step 4: Simplify right side
    504,988x = 1,179,986,857,984
  5. Step 5: Solve for x
    x = 1,179,986,857,984/504,988
  6. Step 6: Final answer
    x = 2,336,663.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.