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Finding the Third Proportional to 804,573 and 1,215,061

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Solution

The third proportional to 804,573 and 1,215,061 is: 1,834,977.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,573 : 1,215,061 = 1,215,061 : x
  2. Step 2: Convert to fraction form
    804,573/1,215,061 = 1,215,061/x
  3. Step 3: Cross multiply
    804,573x = 1,215,061 × 1,215,061
  4. Step 4: Simplify right side
    804,573x = 1,476,373,233,721
  5. Step 5: Solve for x
    x = 1,476,373,233,721/804,573
  6. Step 6: Final answer
    x = 1,834,977.35

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