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Finding the Third Proportional to 1,619,383.50 and 2,420,154

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Solution

The third proportional to 1,619,383.50 and 2,420,154 is: 3,616,898.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619,383.50 : 2,420,154 = 2,420,154 : x
  2. Step 2: Convert to fraction form
    1,619,383.50/2,420,154 = 2,420,154/x
  3. Step 3: Cross multiply
    1,619,383.50x = 2,420,154 × 2,420,154
  4. Step 4: Simplify right side
    1,619,383.50x = 5,857,145,383,716
  5. Step 5: Solve for x
    x = 5,857,145,383,716/1,619,383.50
  6. Step 6: Final answer
    x = 3,616,898.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.