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Finding the Third Proportional to 804,576 and 1,215,065

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Solution

The third proportional to 804,576 and 1,215,065 is: 1,834,982.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,576 : 1,215,065 = 1,215,065 : x
  2. Step 2: Convert to fraction form
    804,576/1,215,065 = 1,215,065/x
  3. Step 3: Cross multiply
    804,576x = 1,215,065 × 1,215,065
  4. Step 4: Simplify right side
    804,576x = 1,476,382,954,225
  5. Step 5: Solve for x
    x = 1,476,382,954,225/804,576
  6. Step 6: Final answer
    x = 1,834,982.59

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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.