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Finding the Third Proportional to 415,094 and 865,589

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Solution

The third proportional to 415,094 and 865,589 is: 1,804,999.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,094 : 865,589 = 865,589 : x
  2. Step 2: Convert to fraction form
    415,094/865,589 = 865,589/x
  3. Step 3: Cross multiply
    415,094x = 865,589 × 865,589
  4. Step 4: Simplify right side
    415,094x = 749,244,316,921
  5. Step 5: Solve for x
    x = 749,244,316,921/415,094
  6. Step 6: Final answer
    x = 1,804,999.15

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.