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Finding the Third Proportional to 757,539 and 1,620,144

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Solution

The third proportional to 757,539 and 1,620,144 is: 3,464,992.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,539 : 1,620,144 = 1,620,144 : x
  2. Step 2: Convert to fraction form
    757,539/1,620,144 = 1,620,144/x
  3. Step 3: Cross multiply
    757,539x = 1,620,144 × 1,620,144
  4. Step 4: Simplify right side
    757,539x = 2,624,866,580,736
  5. Step 5: Solve for x
    x = 2,624,866,580,736/757,539
  6. Step 6: Final answer
    x = 3,464,992.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.