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Finding the Third Proportional to 592,120 and 902,904

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Solution

The third proportional to 592,120 and 902,904 is: 1,376,808.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,120 : 902,904 = 902,904 : x
  2. Step 2: Convert to fraction form
    592,120/902,904 = 902,904/x
  3. Step 3: Cross multiply
    592,120x = 902,904 × 902,904
  4. Step 4: Simplify right side
    592,120x = 815,235,633,216
  5. Step 5: Solve for x
    x = 815,235,633,216/592,120
  6. Step 6: Final answer
    x = 1,376,808.14

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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.