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Finding the Third Proportional to 1,677,823 and 2,516,917

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Solution

The third proportional to 1,677,823 and 2,516,917 is: 3,775,649.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677,823 : 2,516,917 = 2,516,917 : x
  2. Step 2: Convert to fraction form
    1,677,823/2,516,917 = 2,516,917/x
  3. Step 3: Cross multiply
    1,677,823x = 2,516,917 × 2,516,917
  4. Step 4: Simplify right side
    1,677,823x = 6,334,871,184,889
  5. Step 5: Solve for x
    x = 6,334,871,184,889/1,677,823
  6. Step 6: Final answer
    x = 3,775,649.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.