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Finding the Third Proportional to 501,321 and 1,043,949

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Solution

The third proportional to 501,321 and 1,043,949 is: 2,173,915.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,321 : 1,043,949 = 1,043,949 : x
  2. Step 2: Convert to fraction form
    501,321/1,043,949 = 1,043,949/x
  3. Step 3: Cross multiply
    501,321x = 1,043,949 × 1,043,949
  4. Step 4: Simplify right side
    501,321x = 1,089,829,514,601
  5. Step 5: Solve for x
    x = 1,089,829,514,601/501,321
  6. Step 6: Final answer
    x = 2,173,915.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.