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Finding the Third Proportional to 1,501,823 and 3,110,099

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Solution

The third proportional to 1,501,823 and 3,110,099 is: 6,440,649.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501,823 : 3,110,099 = 3,110,099 : x
  2. Step 2: Convert to fraction form
    1,501,823/3,110,099 = 3,110,099/x
  3. Step 3: Cross multiply
    1,501,823x = 3,110,099 × 3,110,099
  4. Step 4: Simplify right side
    1,501,823x = 9,672,715,789,801
  5. Step 5: Solve for x
    x = 9,672,715,789,801/1,501,823
  6. Step 6: Final answer
    x = 6,440,649.66

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.