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Finding the Third Proportional to 1,620,173.50 and 3,545,483

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Solution

The third proportional to 1,620,173.50 and 3,545,483 is: 7,758,705.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620,173.50 : 3,545,483 = 3,545,483 : x
  2. Step 2: Convert to fraction form
    1,620,173.50/3,545,483 = 3,545,483/x
  3. Step 3: Cross multiply
    1,620,173.50x = 3,545,483 × 3,545,483
  4. Step 4: Simplify right side
    1,620,173.50x = 12,570,449,703,289
  5. Step 5: Solve for x
    x = 12,570,449,703,289/1,620,173.50
  6. Step 6: Final answer
    x = 7,758,705.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.