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Finding the Third Proportional to 3,705,823 and 5,536,914

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Solution

The third proportional to 3,705,823 and 5,536,914 is: 8,272,768.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705,823 : 5,536,914 = 5,536,914 : x
  2. Step 2: Convert to fraction form
    3,705,823/5,536,914 = 5,536,914/x
  3. Step 3: Cross multiply
    3,705,823x = 5,536,914 × 5,536,914
  4. Step 4: Simplify right side
    3,705,823x = 30,657,416,643,396
  5. Step 5: Solve for x
    x = 30,657,416,643,396/3,705,823
  6. Step 6: Final answer
    x = 8,272,768.73

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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.