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Finding the Third Proportional to 1,778,144 and 2,540,927

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Solution

The third proportional to 1,778,144 and 2,540,927 is: 3,630,926.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778,144 : 2,540,927 = 2,540,927 : x
  2. Step 2: Convert to fraction form
    1,778,144/2,540,927 = 2,540,927/x
  3. Step 3: Cross multiply
    1,778,144x = 2,540,927 × 2,540,927
  4. Step 4: Simplify right side
    1,778,144x = 6,456,310,019,329
  5. Step 5: Solve for x
    x = 6,456,310,019,329/1,778,144
  6. Step 6: Final answer
    x = 3,630,926.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.