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Finding the Third Proportional to 592,068 and 902,838

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Solution

The third proportional to 592,068 and 902,838 is: 1,376,727.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,068 : 902,838 = 902,838 : x
  2. Step 2: Convert to fraction form
    592,068/902,838 = 902,838/x
  3. Step 3: Cross multiply
    592,068x = 902,838 × 902,838
  4. Step 4: Simplify right side
    592,068x = 815,116,454,244
  5. Step 5: Solve for x
    x = 815,116,454,244/592,068
  6. Step 6: Final answer
    x = 1,376,727.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.