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Finding the Third Proportional to 580,721 and 885,844

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Solution

The third proportional to 580,721 and 885,844 is: 1,351,285.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,721 : 885,844 = 885,844 : x
  2. Step 2: Convert to fraction form
    580,721/885,844 = 885,844/x
  3. Step 3: Cross multiply
    580,721x = 885,844 × 885,844
  4. Step 4: Simplify right side
    580,721x = 784,719,592,336
  5. Step 5: Solve for x
    x = 784,719,592,336/580,721
  6. Step 6: Final answer
    x = 1,351,285.03

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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.