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Finding the Third Proportional to 457,871 and 994,564

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Solution

The third proportional to 457,871 and 994,564 is: 2,160,341.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,871 : 994,564 = 994,564 : x
  2. Step 2: Convert to fraction form
    457,871/994,564 = 994,564/x
  3. Step 3: Cross multiply
    457,871x = 994,564 × 994,564
  4. Step 4: Simplify right side
    457,871x = 989,157,550,096
  5. Step 5: Solve for x
    x = 989,157,550,096/457,871
  6. Step 6: Final answer
    x = 2,160,341.12

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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.