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Finding the Third Proportional to 804,562 and 1,675,278

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Solution

The third proportional to 804,562 and 1,675,278 is: 3,488,303.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,562 : 1,675,278 = 1,675,278 : x
  2. Step 2: Convert to fraction form
    804,562/1,675,278 = 1,675,278/x
  3. Step 3: Cross multiply
    804,562x = 1,675,278 × 1,675,278
  4. Step 4: Simplify right side
    804,562x = 2,806,556,377,284
  5. Step 5: Solve for x
    x = 2,806,556,377,284/804,562
  6. Step 6: Final answer
    x = 3,488,303.42

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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.