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Finding the Third Proportional to 569,866 and 902,369

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Solution

The third proportional to 569,866 and 902,369 is: 1,428,879.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,866 : 902,369 = 902,369 : x
  2. Step 2: Convert to fraction form
    569,866/902,369 = 902,369/x
  3. Step 3: Cross multiply
    569,866x = 902,369 × 902,369
  4. Step 4: Simplify right side
    569,866x = 814,269,812,161
  5. Step 5: Solve for x
    x = 814,269,812,161/569,866
  6. Step 6: Final answer
    x = 1,428,879.44

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