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Finding the Third Proportional to 538,740 and 1,178,445.38

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Solution

The third proportional to 538,740 and 1,178,445.38 is: 2,577,743.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,740 : 1,178,445.38 = 1,178,445.38 : x
  2. Step 2: Convert to fraction form
    538,740/1,178,445.38 = 1,178,445.38/x
  3. Step 3: Cross multiply
    538,740x = 1,178,445.38 × 1,178,445.38
  4. Step 4: Simplify right side
    538,740x = 1,388,733,501,858.89
  5. Step 5: Solve for x
    x = 1,388,733,501,858.89/538,740
  6. Step 6: Final answer
    x = 2,577,743.44

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.