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Finding the Third Proportional to 773,768 and 1,641,496

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Solution

The third proportional to 773,768 and 1,641,496 is: 3,482,321.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,768 : 1,641,496 = 1,641,496 : x
  2. Step 2: Convert to fraction form
    773,768/1,641,496 = 1,641,496/x
  3. Step 3: Cross multiply
    773,768x = 1,641,496 × 1,641,496
  4. Step 4: Simplify right side
    773,768x = 2,694,509,118,016
  5. Step 5: Solve for x
    x = 2,694,509,118,016/773,768
  6. Step 6: Final answer
    x = 3,482,321.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.