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Finding the Third Proportional to 1,681,962 and 2,522,415

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Solution

The third proportional to 1,681,962 and 2,522,415 is: 3,782,830.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681,962 : 2,522,415 = 2,522,415 : x
  2. Step 2: Convert to fraction form
    1,681,962/2,522,415 = 2,522,415/x
  3. Step 3: Cross multiply
    1,681,962x = 2,522,415 × 2,522,415
  4. Step 4: Simplify right side
    1,681,962x = 6,362,577,432,225
  5. Step 5: Solve for x
    x = 6,362,577,432,225/1,681,962
  6. Step 6: Final answer
    x = 3,782,830.67

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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.