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Finding the Third Proportional to 2,152,821 and 3,468,723

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Solution

The third proportional to 2,152,821 and 3,468,723 is: 5,588,964.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152,821 : 3,468,723 = 3,468,723 : x
  2. Step 2: Convert to fraction form
    2,152,821/3,468,723 = 3,468,723/x
  3. Step 3: Cross multiply
    2,152,821x = 3,468,723 × 3,468,723
  4. Step 4: Simplify right side
    2,152,821x = 12,032,039,250,729
  5. Step 5: Solve for x
    x = 12,032,039,250,729/2,152,821
  6. Step 6: Final answer
    x = 5,588,964.09

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.