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Finding the Third Proportional to 541,022 and 1,157,090

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Solution

The third proportional to 541,022 and 1,157,090 is: 2,474,681.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,022 : 1,157,090 = 1,157,090 : x
  2. Step 2: Convert to fraction form
    541,022/1,157,090 = 1,157,090/x
  3. Step 3: Cross multiply
    541,022x = 1,157,090 × 1,157,090
  4. Step 4: Simplify right side
    541,022x = 1,338,857,268,100
  5. Step 5: Solve for x
    x = 1,338,857,268,100/541,022
  6. Step 6: Final answer
    x = 2,474,681.75

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.