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Finding the Third Proportional to 1,633,120 and 3,463,904

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Solution

The third proportional to 1,633,120 and 3,463,904 is: 7,347,060.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633,120 : 3,463,904 = 3,463,904 : x
  2. Step 2: Convert to fraction form
    1,633,120/3,463,904 = 3,463,904/x
  3. Step 3: Cross multiply
    1,633,120x = 3,463,904 × 3,463,904
  4. Step 4: Simplify right side
    1,633,120x = 11,998,630,921,216
  5. Step 5: Solve for x
    x = 11,998,630,921,216/1,633,120
  6. Step 6: Final answer
    x = 7,347,060.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.