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Finding the Third Proportional to 1,771,265.75 and 3,699,783

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Solution

The third proportional to 1,771,265.75 and 3,699,783 is: 7,728,029.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771,265.75 : 3,699,783 = 3,699,783 : x
  2. Step 2: Convert to fraction form
    1,771,265.75/3,699,783 = 3,699,783/x
  3. Step 3: Cross multiply
    1,771,265.75x = 3,699,783 × 3,699,783
  4. Step 4: Simplify right side
    1,771,265.75x = 13,688,394,247,089
  5. Step 5: Solve for x
    x = 13,688,394,247,089/1,771,265.75
  6. Step 6: Final answer
    x = 7,728,029.66

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.