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Finding the Third Proportional to 804,596 and 1,215,098

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Solution

The third proportional to 804,596 and 1,215,098 is: 1,835,036.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,596 : 1,215,098 = 1,215,098 : x
  2. Step 2: Convert to fraction form
    804,596/1,215,098 = 1,215,098/x
  3. Step 3: Cross multiply
    804,596x = 1,215,098 × 1,215,098
  4. Step 4: Simplify right side
    804,596x = 1,476,463,149,604
  5. Step 5: Solve for x
    x = 1,476,463,149,604/804,596
  6. Step 6: Final answer
    x = 1,835,036.65

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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.