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Finding the Third Proportional to 457,772 and 994,354

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Solution

The third proportional to 457,772 and 994,354 is: 2,159,895.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,772 : 994,354 = 994,354 : x
  2. Step 2: Convert to fraction form
    457,772/994,354 = 994,354/x
  3. Step 3: Cross multiply
    457,772x = 994,354 × 994,354
  4. Step 4: Simplify right side
    457,772x = 988,739,877,316
  5. Step 5: Solve for x
    x = 988,739,877,316/457,772
  6. Step 6: Final answer
    x = 2,159,895.92

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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.