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Finding the Third Proportional to 921,058 and 1,420,962

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Solution

The third proportional to 921,058 and 1,420,962 is: 2,192,188.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,058 : 1,420,962 = 1,420,962 : x
  2. Step 2: Convert to fraction form
    921,058/1,420,962 = 1,420,962/x
  3. Step 3: Cross multiply
    921,058x = 1,420,962 × 1,420,962
  4. Step 4: Simplify right side
    921,058x = 2,019,133,005,444
  5. Step 5: Solve for x
    x = 2,019,133,005,444/921,058
  6. Step 6: Final answer
    x = 2,192,188.77

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.