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Finding the Third Proportional to 569,868 and 902,372

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Solution

The third proportional to 569,868 and 902,372 is: 1,428,883.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,868 : 902,372 = 902,372 : x
  2. Step 2: Convert to fraction form
    569,868/902,372 = 902,372/x
  3. Step 3: Cross multiply
    569,868x = 902,372 × 902,372
  4. Step 4: Simplify right side
    569,868x = 814,275,226,384
  5. Step 5: Solve for x
    x = 814,275,226,384/569,868
  6. Step 6: Final answer
    x = 1,428,883.93

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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.