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Finding the Third Proportional to 482,945 and 1,048,927

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Solution

The third proportional to 482,945 and 1,048,927 is: 2,278,205.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,945 : 1,048,927 = 1,048,927 : x
  2. Step 2: Convert to fraction form
    482,945/1,048,927 = 1,048,927/x
  3. Step 3: Cross multiply
    482,945x = 1,048,927 × 1,048,927
  4. Step 4: Simplify right side
    482,945x = 1,100,247,851,329
  5. Step 5: Solve for x
    x = 1,100,247,851,329/482,945
  6. Step 6: Final answer
    x = 2,278,205.28

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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.