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Finding the Third Proportional to 804,821 and 1,675,756

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Solution

The third proportional to 804,821 and 1,675,756 is: 3,489,171.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,821 : 1,675,756 = 1,675,756 : x
  2. Step 2: Convert to fraction form
    804,821/1,675,756 = 1,675,756/x
  3. Step 3: Cross multiply
    804,821x = 1,675,756 × 1,675,756
  4. Step 4: Simplify right side
    804,821x = 2,808,158,171,536
  5. Step 5: Solve for x
    x = 2,808,158,171,536/804,821
  6. Step 6: Final answer
    x = 3,489,171.10

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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.