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Finding the Third Proportional to 1,664,723 and 2,492,526

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Solution

The third proportional to 1,664,723 and 2,492,526 is: 3,731,963.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664,723 : 2,492,526 = 2,492,526 : x
  2. Step 2: Convert to fraction form
    1,664,723/2,492,526 = 2,492,526/x
  3. Step 3: Cross multiply
    1,664,723x = 2,492,526 × 2,492,526
  4. Step 4: Simplify right side
    1,664,723x = 6,212,685,860,676
  5. Step 5: Solve for x
    x = 6,212,685,860,676/1,664,723
  6. Step 6: Final answer
    x = 3,731,963.73

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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.