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Finding the Third Proportional to 677,970 and 1,504,629

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Solution

The third proportional to 677,970 and 1,504,629 is: 3,339,245.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,970 : 1,504,629 = 1,504,629 : x
  2. Step 2: Convert to fraction form
    677,970/1,504,629 = 1,504,629/x
  3. Step 3: Cross multiply
    677,970x = 1,504,629 × 1,504,629
  4. Step 4: Simplify right side
    677,970x = 2,263,908,427,641
  5. Step 5: Solve for x
    x = 2,263,908,427,641/677,970
  6. Step 6: Final answer
    x = 3,339,245.73

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.