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Finding the Third Proportional to 2,241,224 and 3,364,130

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Solution

The third proportional to 2,241,224 and 3,364,130 is: 5,049,638.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241,224 : 3,364,130 = 3,364,130 : x
  2. Step 2: Convert to fraction form
    2,241,224/3,364,130 = 3,364,130/x
  3. Step 3: Cross multiply
    2,241,224x = 3,364,130 × 3,364,130
  4. Step 4: Simplify right side
    2,241,224x = 11,317,370,656,900
  5. Step 5: Solve for x
    x = 11,317,370,656,900/2,241,224
  6. Step 6: Final answer
    x = 5,049,638.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.