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Finding the Third Proportional to 3,106,467 and 4,707,816

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Solution

The third proportional to 3,106,467 and 4,707,816 is: 7,134,642.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106,467 : 4,707,816 = 4,707,816 : x
  2. Step 2: Convert to fraction form
    3,106,467/4,707,816 = 4,707,816/x
  3. Step 3: Cross multiply
    3,106,467x = 4,707,816 × 4,707,816
  4. Step 4: Simplify right side
    3,106,467x = 22,163,531,489,856
  5. Step 5: Solve for x
    x = 22,163,531,489,856/3,106,467
  6. Step 6: Final answer
    x = 7,134,642.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.