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Finding the Third Proportional to 1,533,663 and 3,322,923

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Solution

The third proportional to 1,533,663 and 3,322,923 is: 7,199,637.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533,663 : 3,322,923 = 3,322,923 : x
  2. Step 2: Convert to fraction form
    1,533,663/3,322,923 = 3,322,923/x
  3. Step 3: Cross multiply
    1,533,663x = 3,322,923 × 3,322,923
  4. Step 4: Simplify right side
    1,533,663x = 11,041,817,263,929
  5. Step 5: Solve for x
    x = 11,041,817,263,929/1,533,663
  6. Step 6: Final answer
    x = 7,199,637.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.