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Finding the Third Proportional to 850,670 and 1,855,888

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Solution

The third proportional to 850,670 and 1,855,888 is: 4,048,949.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,670 : 1,855,888 = 1,855,888 : x
  2. Step 2: Convert to fraction form
    850,670/1,855,888 = 1,855,888/x
  3. Step 3: Cross multiply
    850,670x = 1,855,888 × 1,855,888
  4. Step 4: Simplify right side
    850,670x = 3,444,320,268,544
  5. Step 5: Solve for x
    x = 3,444,320,268,544/850,670
  6. Step 6: Final answer
    x = 4,048,949.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.