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Finding the Third Proportional to 501,301.69 and 1,043,912.81

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Solution

The third proportional to 501,301.69 and 1,043,912.81 is: 2,173,848.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,301.69 : 1,043,912.81 = 1,043,912.81 : x
  2. Step 2: Convert to fraction form
    501,301.69/1,043,912.81 = 1,043,912.81/x
  3. Step 3: Cross multiply
    501,301.69x = 1,043,912.81 × 1,043,912.81
  4. Step 4: Simplify right side
    501,301.69x = 1,089,753,960,101.66
  5. Step 5: Solve for x
    x = 1,089,753,960,101.66/501,301.69
  6. Step 6: Final answer
    x = 2,173,848.58

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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.