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Finding the Third Proportional to 569,847 and 902,338

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Solution

The third proportional to 569,847 and 902,338 is: 1,428,828.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,847 : 902,338 = 902,338 : x
  2. Step 2: Convert to fraction form
    569,847/902,338 = 902,338/x
  3. Step 3: Cross multiply
    569,847x = 902,338 × 902,338
  4. Step 4: Simplify right side
    569,847x = 814,213,866,244
  5. Step 5: Solve for x
    x = 814,213,866,244/569,847
  6. Step 6: Final answer
    x = 1,428,828.91

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.