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Finding the Third Proportional to 541,413 and 1,179,054

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Solution

The third proportional to 541,413 and 1,179,054 is: 2,567,667.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,413 : 1,179,054 = 1,179,054 : x
  2. Step 2: Convert to fraction form
    541,413/1,179,054 = 1,179,054/x
  3. Step 3: Cross multiply
    541,413x = 1,179,054 × 1,179,054
  4. Step 4: Simplify right side
    541,413x = 1,390,168,334,916
  5. Step 5: Solve for x
    x = 1,390,168,334,916/541,413
  6. Step 6: Final answer
    x = 2,567,667.08

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.