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Finding the Third Proportional to 501,323 and 1,043,954

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Solution

The third proportional to 501,323 and 1,043,954 is: 2,173,927.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,323 : 1,043,954 = 1,043,954 : x
  2. Step 2: Convert to fraction form
    501,323/1,043,954 = 1,043,954/x
  3. Step 3: Cross multiply
    501,323x = 1,043,954 × 1,043,954
  4. Step 4: Simplify right side
    501,323x = 1,089,839,954,116
  5. Step 5: Solve for x
    x = 1,089,839,954,116/501,323
  6. Step 6: Final answer
    x = 2,173,927.70

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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.