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Finding the Third Proportional to 805,896 and 1,707,504

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Solution

The third proportional to 805,896 and 1,707,504 is: 3,617,799.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,896 : 1,707,504 = 1,707,504 : x
  2. Step 2: Convert to fraction form
    805,896/1,707,504 = 1,707,504/x
  3. Step 3: Cross multiply
    805,896x = 1,707,504 × 1,707,504
  4. Step 4: Simplify right side
    805,896x = 2,915,569,910,016
  5. Step 5: Solve for x
    x = 2,915,569,910,016/805,896
  6. Step 6: Final answer
    x = 3,617,799.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.