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Finding the Third Proportional to 804,571 and 1,215,058

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Solution

The third proportional to 804,571 and 1,215,058 is: 1,834,972.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,571 : 1,215,058 = 1,215,058 : x
  2. Step 2: Convert to fraction form
    804,571/1,215,058 = 1,215,058/x
  3. Step 3: Cross multiply
    804,571x = 1,215,058 × 1,215,058
  4. Step 4: Simplify right side
    804,571x = 1,476,365,943,364
  5. Step 5: Solve for x
    x = 1,476,365,943,364/804,571
  6. Step 6: Final answer
    x = 1,834,972.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.