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Finding the Third Proportional to 446,860 and 957,686

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Solution

The third proportional to 446,860 and 957,686 is: 2,052,460.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,860 : 957,686 = 957,686 : x
  2. Step 2: Convert to fraction form
    446,860/957,686 = 957,686/x
  3. Step 3: Cross multiply
    446,860x = 957,686 × 957,686
  4. Step 4: Simplify right side
    446,860x = 917,162,474,596
  5. Step 5: Solve for x
    x = 917,162,474,596/446,860
  6. Step 6: Final answer
    x = 2,052,460.45

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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.