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Finding the Third Proportional to 457,925 and 994,666

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Solution

The third proportional to 457,925 and 994,666 is: 2,160,529.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,925 : 994,666 = 994,666 : x
  2. Step 2: Convert to fraction form
    457,925/994,666 = 994,666/x
  3. Step 3: Cross multiply
    457,925x = 994,666 × 994,666
  4. Step 4: Simplify right side
    457,925x = 989,360,451,556
  5. Step 5: Solve for x
    x = 989,360,451,556/457,925
  6. Step 6: Final answer
    x = 2,160,529.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.