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Finding the Third Proportional to 479,969.81 and 1,031,168.53

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Solution

The third proportional to 479,969.81 and 1,031,168.53 is: 2,215,365.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,969.81 : 1,031,168.53 = 1,031,168.53 : x
  2. Step 2: Convert to fraction form
    479,969.81/1,031,168.53 = 1,031,168.53/x
  3. Step 3: Cross multiply
    479,969.81x = 1,031,168.53 × 1,031,168.53
  4. Step 4: Simplify right side
    479,969.81x = 1,063,308,539,840.28
  5. Step 5: Solve for x
    x = 1,063,308,539,840.28/479,969.81
  6. Step 6: Final answer
    x = 2,215,365.45

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.