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Finding the Third Proportional to 452,421 and 994,266

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Solution

The third proportional to 452,421 and 994,266 is: 2,185,055.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,421 : 994,266 = 994,266 : x
  2. Step 2: Convert to fraction form
    452,421/994,266 = 994,266/x
  3. Step 3: Cross multiply
    452,421x = 994,266 × 994,266
  4. Step 4: Simplify right side
    452,421x = 988,564,878,756
  5. Step 5: Solve for x
    x = 988,564,878,756/452,421
  6. Step 6: Final answer
    x = 2,185,055.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.