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Finding the Third Proportional to 2,965,719 and 6,472,722

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Solution

The third proportional to 2,965,719 and 6,472,722 is: 14,126,803.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965,719 : 6,472,722 = 6,472,722 : x
  2. Step 2: Convert to fraction form
    2,965,719/6,472,722 = 6,472,722/x
  3. Step 3: Cross multiply
    2,965,719x = 6,472,722 × 6,472,722
  4. Step 4: Simplify right side
    2,965,719x = 41,896,130,089,284
  5. Step 5: Solve for x
    x = 41,896,130,089,284/2,965,719
  6. Step 6: Final answer
    x = 14,126,803.68

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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.