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Finding the Third Proportional to 2,709,684.56 and 3,962,786.63

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Solution

The third proportional to 2,709,684.56 and 3,962,786.63 is: 5,795,389.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709,684.56 : 3,962,786.63 = 3,962,786.63 : x
  2. Step 2: Convert to fraction form
    2,709,684.56/3,962,786.63 = 3,962,786.63/x
  3. Step 3: Cross multiply
    2,709,684.56x = 3,962,786.63 × 3,962,786.63
  4. Step 4: Simplify right side
    2,709,684.56x = 15,703,677,835,278.89
  5. Step 5: Solve for x
    x = 15,703,677,835,278.89/2,709,684.56
  6. Step 6: Final answer
    x = 5,795,389.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.