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Finding the Third Proportional to 2,768,418 and 4,334,070.38

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Solution

The third proportional to 2,768,418 and 4,334,070.38 is: 6,785,162.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768,418 : 4,334,070.38 = 4,334,070.38 : x
  2. Step 2: Convert to fraction form
    2,768,418/4,334,070.38 = 4,334,070.38/x
  3. Step 3: Cross multiply
    2,768,418x = 4,334,070.38 × 4,334,070.38
  4. Step 4: Simplify right side
    2,768,418x = 18,784,166,015,452.64
  5. Step 5: Solve for x
    x = 18,784,166,015,452.64/2,768,418
  6. Step 6: Final answer
    x = 6,785,162.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.