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Finding the Third Proportional to 569,845 and 902,335

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Solution

The third proportional to 569,845 and 902,335 is: 1,428,824.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,845 : 902,335 = 902,335 : x
  2. Step 2: Convert to fraction form
    569,845/902,335 = 902,335/x
  3. Step 3: Cross multiply
    569,845x = 902,335 × 902,335
  4. Step 4: Simplify right side
    569,845x = 814,208,452,225
  5. Step 5: Solve for x
    x = 814,208,452,225/569,845
  6. Step 6: Final answer
    x = 1,428,824.42

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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.