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Finding the Third Proportional to 1,620,474 and 3,532,532

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Solution

The third proportional to 1,620,474 and 3,532,532 is: 7,700,698.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620,474 : 3,532,532 = 3,532,532 : x
  2. Step 2: Convert to fraction form
    1,620,474/3,532,532 = 3,532,532/x
  3. Step 3: Cross multiply
    1,620,474x = 3,532,532 × 3,532,532
  4. Step 4: Simplify right side
    1,620,474x = 12,478,782,331,024
  5. Step 5: Solve for x
    x = 12,478,782,331,024/1,620,474
  6. Step 6: Final answer
    x = 7,700,698.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.