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Finding the Third Proportional to 4,964,946 and 7,591,823

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Solution

The third proportional to 4,964,946 and 7,591,823 is: 11,608,540.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964,946 : 7,591,823 = 7,591,823 : x
  2. Step 2: Convert to fraction form
    4,964,946/7,591,823 = 7,591,823/x
  3. Step 3: Cross multiply
    4,964,946x = 7,591,823 × 7,591,823
  4. Step 4: Simplify right side
    4,964,946x = 57,635,776,463,329
  5. Step 5: Solve for x
    x = 57,635,776,463,329/4,964,946
  6. Step 6: Final answer
    x = 11,608,540.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.