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Finding the Third Proportional to 579,546 and 886,531

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Solution

The third proportional to 579,546 and 886,531 is: 1,356,125.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,546 : 886,531 = 886,531 : x
  2. Step 2: Convert to fraction form
    579,546/886,531 = 886,531/x
  3. Step 3: Cross multiply
    579,546x = 886,531 × 886,531
  4. Step 4: Simplify right side
    579,546x = 785,937,213,961
  5. Step 5: Solve for x
    x = 785,937,213,961/579,546
  6. Step 6: Final answer
    x = 1,356,125.68

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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.