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Finding the Third Proportional to 1,357,233.75 and 2,110,266

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Solution

The third proportional to 1,357,233.75 and 2,110,266 is: 3,281,102.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357,233.75 : 2,110,266 = 2,110,266 : x
  2. Step 2: Convert to fraction form
    1,357,233.75/2,110,266 = 2,110,266/x
  3. Step 3: Cross multiply
    1,357,233.75x = 2,110,266 × 2,110,266
  4. Step 4: Simplify right side
    1,357,233.75x = 4,453,222,590,756
  5. Step 5: Solve for x
    x = 4,453,222,590,756/1,357,233.75
  6. Step 6: Final answer
    x = 3,281,102.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.