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Finding the Third Proportional to 2,782,819 and 4,256,986

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Solution

The third proportional to 2,782,819 and 4,256,986 is: 6,512,076.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782,819 : 4,256,986 = 4,256,986 : x
  2. Step 2: Convert to fraction form
    2,782,819/4,256,986 = 4,256,986/x
  3. Step 3: Cross multiply
    2,782,819x = 4,256,986 × 4,256,986
  4. Step 4: Simplify right side
    2,782,819x = 18,121,929,804,196
  5. Step 5: Solve for x
    x = 18,121,929,804,196/2,782,819
  6. Step 6: Final answer
    x = 6,512,076.35

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.