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Finding the Third Proportional to 579,857 and 887,009

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Solution

The third proportional to 579,857 and 887,009 is: 1,356,860.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,857 : 887,009 = 887,009 : x
  2. Step 2: Convert to fraction form
    579,857/887,009 = 887,009/x
  3. Step 3: Cross multiply
    579,857x = 887,009 × 887,009
  4. Step 4: Simplify right side
    579,857x = 786,784,966,081
  5. Step 5: Solve for x
    x = 786,784,966,081/579,857
  6. Step 6: Final answer
    x = 1,356,860.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.