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Finding the Third Proportional to 1,649,073 and 2,522,652

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Solution

The third proportional to 1,649,073 and 2,522,652 is: 3,859,000.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649,073 : 2,522,652 = 2,522,652 : x
  2. Step 2: Convert to fraction form
    1,649,073/2,522,652 = 2,522,652/x
  3. Step 3: Cross multiply
    1,649,073x = 2,522,652 × 2,522,652
  4. Step 4: Simplify right side
    1,649,073x = 6,363,773,113,104
  5. Step 5: Solve for x
    x = 6,363,773,113,104/1,649,073
  6. Step 6: Final answer
    x = 3,859,000.25

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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.