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Finding the Third Proportional to 805,200 and 1,645,344

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Solution

The third proportional to 805,200 and 1,645,344 is: 3,362,092.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,200 : 1,645,344 = 1,645,344 : x
  2. Step 2: Convert to fraction form
    805,200/1,645,344 = 1,645,344/x
  3. Step 3: Cross multiply
    805,200x = 1,645,344 × 1,645,344
  4. Step 4: Simplify right side
    805,200x = 2,707,156,878,336
  5. Step 5: Solve for x
    x = 2,707,156,878,336/805,200
  6. Step 6: Final answer
    x = 3,362,092.50

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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.