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Finding the Third Proportional to 1,562,107.50 and 3,423,834

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Solution

The third proportional to 1,562,107.50 and 3,423,834 is: 7,504,374.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562,107.50 : 3,423,834 = 3,423,834 : x
  2. Step 2: Convert to fraction form
    1,562,107.50/3,423,834 = 3,423,834/x
  3. Step 3: Cross multiply
    1,562,107.50x = 3,423,834 × 3,423,834
  4. Step 4: Simplify right side
    1,562,107.50x = 11,722,639,259,556
  5. Step 5: Solve for x
    x = 11,722,639,259,556/1,562,107.50
  6. Step 6: Final answer
    x = 7,504,374.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.