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Finding the Third Proportional to 462,280 and 994,544

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Solution

The third proportional to 462,280 and 994,544 is: 2,139,650.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,280 : 994,544 = 994,544 : x
  2. Step 2: Convert to fraction form
    462,280/994,544 = 994,544/x
  3. Step 3: Cross multiply
    462,280x = 994,544 × 994,544
  4. Step 4: Simplify right side
    462,280x = 989,117,767,936
  5. Step 5: Solve for x
    x = 989,117,767,936/462,280
  6. Step 6: Final answer
    x = 2,139,650.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.