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Finding the Third Proportional to 776,709 and 1,661,370.75

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Solution

The third proportional to 776,709 and 1,661,370.75 is: 3,553,651.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,709 : 1,661,370.75 = 1,661,370.75 : x
  2. Step 2: Convert to fraction form
    776,709/1,661,370.75 = 1,661,370.75/x
  3. Step 3: Cross multiply
    776,709x = 1,661,370.75 × 1,661,370.75
  4. Step 4: Simplify right side
    776,709x = 2,760,152,768,955.56
  5. Step 5: Solve for x
    x = 2,760,152,768,955.56/776,709
  6. Step 6: Final answer
    x = 3,553,651.07

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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.