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Finding the Third Proportional to 2,970,674 and 4,330,827

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Solution

The third proportional to 2,970,674 and 4,330,827 is: 6,313,739.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970,674 : 4,330,827 = 4,330,827 : x
  2. Step 2: Convert to fraction form
    2,970,674/4,330,827 = 4,330,827/x
  3. Step 3: Cross multiply
    2,970,674x = 4,330,827 × 4,330,827
  4. Step 4: Simplify right side
    2,970,674x = 18,756,062,503,929
  5. Step 5: Solve for x
    x = 18,756,062,503,929/2,970,674
  6. Step 6: Final answer
    x = 6,313,739.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.