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Finding the Third Proportional to 567,971 and 1,211,718

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Solution

The third proportional to 567,971 and 1,211,718 is: 2,585,097.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,971 : 1,211,718 = 1,211,718 : x
  2. Step 2: Convert to fraction form
    567,971/1,211,718 = 1,211,718/x
  3. Step 3: Cross multiply
    567,971x = 1,211,718 × 1,211,718
  4. Step 4: Simplify right side
    567,971x = 1,468,260,511,524
  5. Step 5: Solve for x
    x = 1,468,260,511,524/567,971
  6. Step 6: Final answer
    x = 2,585,097.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.