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Finding the Third Proportional to 651,078 and 1,419,768

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Solution

The third proportional to 651,078 and 1,419,768 is: 3,096,005.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,078 : 1,419,768 = 1,419,768 : x
  2. Step 2: Convert to fraction form
    651,078/1,419,768 = 1,419,768/x
  3. Step 3: Cross multiply
    651,078x = 1,419,768 × 1,419,768
  4. Step 4: Simplify right side
    651,078x = 2,015,741,173,824
  5. Step 5: Solve for x
    x = 2,015,741,173,824/651,078
  6. Step 6: Final answer
    x = 3,096,005.66

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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.