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Finding the Third Proportional to 569,716 and 902,141

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Solution

The third proportional to 569,716 and 902,141 is: 1,428,533.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,716 : 902,141 = 902,141 : x
  2. Step 2: Convert to fraction form
    569,716/902,141 = 902,141/x
  3. Step 3: Cross multiply
    569,716x = 902,141 × 902,141
  4. Step 4: Simplify right side
    569,716x = 813,858,383,881
  5. Step 5: Solve for x
    x = 813,858,383,881/569,716
  6. Step 6: Final answer
    x = 1,428,533.49

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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.