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Finding the Third Proportional to 805,208 and 1,645,360

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Solution

The third proportional to 805,208 and 1,645,360 is: 3,362,124.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,208 : 1,645,360 = 1,645,360 : x
  2. Step 2: Convert to fraction form
    805,208/1,645,360 = 1,645,360/x
  3. Step 3: Cross multiply
    805,208x = 1,645,360 × 1,645,360
  4. Step 4: Simplify right side
    805,208x = 2,707,209,529,600
  5. Step 5: Solve for x
    x = 2,707,209,529,600/805,208
  6. Step 6: Final answer
    x = 3,362,124.48

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.