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Finding the Third Proportional to 804,819 and 1,675,752

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Solution

The third proportional to 804,819 and 1,675,752 is: 3,489,163.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,819 : 1,675,752 = 1,675,752 : x
  2. Step 2: Convert to fraction form
    804,819/1,675,752 = 1,675,752/x
  3. Step 3: Cross multiply
    804,819x = 1,675,752 × 1,675,752
  4. Step 4: Simplify right side
    804,819x = 2,808,144,765,504
  5. Step 5: Solve for x
    x = 2,808,144,765,504/804,819
  6. Step 6: Final answer
    x = 3,489,163.11

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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.