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Finding the Third Proportional to 501,312 and 1,043,936

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Solution

The third proportional to 501,312 and 1,043,936 is: 2,173,900.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,312 : 1,043,936 = 1,043,936 : x
  2. Step 2: Convert to fraction form
    501,312/1,043,936 = 1,043,936/x
  3. Step 3: Cross multiply
    501,312x = 1,043,936 × 1,043,936
  4. Step 4: Simplify right side
    501,312x = 1,089,802,372,096
  5. Step 5: Solve for x
    x = 1,089,802,372,096/501,312
  6. Step 6: Final answer
    x = 2,173,900.43

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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.