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Finding the Third Proportional to 592,072 and 1,302,241

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Solution

The third proportional to 592,072 and 1,302,241 is: 2,864,232.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,072 : 1,302,241 = 1,302,241 : x
  2. Step 2: Convert to fraction form
    592,072/1,302,241 = 1,302,241/x
  3. Step 3: Cross multiply
    592,072x = 1,302,241 × 1,302,241
  4. Step 4: Simplify right side
    592,072x = 1,695,831,622,081
  5. Step 5: Solve for x
    x = 1,695,831,622,081/592,072
  6. Step 6: Final answer
    x = 2,864,232.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.