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Finding the Third Proportional to 1,760,552.63 and 3,857,356.50

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Solution

The third proportional to 1,760,552.63 and 3,857,356.50 is: 8,451,436.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760,552.63 : 3,857,356.50 = 3,857,356.50 : x
  2. Step 2: Convert to fraction form
    1,760,552.63/3,857,356.50 = 3,857,356.50/x
  3. Step 3: Cross multiply
    1,760,552.63x = 3,857,356.50 × 3,857,356.50
  4. Step 4: Simplify right side
    1,760,552.63x = 14,879,199,168,092.25
  5. Step 5: Solve for x
    x = 14,879,199,168,092.25/1,760,552.63
  6. Step 6: Final answer
    x = 8,451,436.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.