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Finding the Third Proportional to 540,155 and 1,179,971

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Solution

The third proportional to 540,155 and 1,179,971 is: 2,577,651.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,155 : 1,179,971 = 1,179,971 : x
  2. Step 2: Convert to fraction form
    540,155/1,179,971 = 1,179,971/x
  3. Step 3: Cross multiply
    540,155x = 1,179,971 × 1,179,971
  4. Step 4: Simplify right side
    540,155x = 1,392,331,560,841
  5. Step 5: Solve for x
    x = 1,392,331,560,841/540,155
  6. Step 6: Final answer
    x = 2,577,651.90

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Why These Related Problems?

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