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Finding the Third Proportional to 457,848 and 994,507

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Solution

The third proportional to 457,848 and 994,507 is: 2,160,202.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,848 : 994,507 = 994,507 : x
  2. Step 2: Convert to fraction form
    457,848/994,507 = 994,507/x
  3. Step 3: Cross multiply
    457,848x = 994,507 × 994,507
  4. Step 4: Simplify right side
    457,848x = 989,044,173,049
  5. Step 5: Solve for x
    x = 989,044,173,049/457,848
  6. Step 6: Final answer
    x = 2,160,202.02

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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.