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Finding the Third Proportional to 1,749,776.63 and 3,639,231

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Solution

The third proportional to 1,749,776.63 and 3,639,231 is: 7,568,967.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749,776.63 : 3,639,231 = 3,639,231 : x
  2. Step 2: Convert to fraction form
    1,749,776.63/3,639,231 = 3,639,231/x
  3. Step 3: Cross multiply
    1,749,776.63x = 3,639,231 × 3,639,231
  4. Step 4: Simplify right side
    1,749,776.63x = 13,244,002,271,361
  5. Step 5: Solve for x
    x = 13,244,002,271,361/1,749,776.63
  6. Step 6: Final answer
    x = 7,568,967.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.