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Finding the Third Proportional to 804,566 and 1,675,286

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Solution

The third proportional to 804,566 and 1,675,286 is: 3,488,319.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,566 : 1,675,286 = 1,675,286 : x
  2. Step 2: Convert to fraction form
    804,566/1,675,286 = 1,675,286/x
  3. Step 3: Cross multiply
    804,566x = 1,675,286 × 1,675,286
  4. Step 4: Simplify right side
    804,566x = 2,806,583,181,796
  5. Step 5: Solve for x
    x = 2,806,583,181,796/804,566
  6. Step 6: Final answer
    x = 3,488,319.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.