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Finding the Third Proportional to 4,211,723 and 6,159,634

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Solution

The third proportional to 4,211,723 and 6,159,634 is: 9,008,448.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,211,723 : 6,159,634 = 6,159,634 : x
  2. Step 2: Convert to fraction form
    4,211,723/6,159,634 = 6,159,634/x
  3. Step 3: Cross multiply
    4,211,723x = 6,159,634 × 6,159,634
  4. Step 4: Simplify right side
    4,211,723x = 37,941,091,013,956
  5. Step 5: Solve for x
    x = 37,941,091,013,956/4,211,723
  6. Step 6: Final answer
    x = 9,008,448.80

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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.