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Finding the Third Proportional to 571,467 and 1,221,667

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Solution

The third proportional to 571,467 and 1,221,667 is: 2,611,647.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,467 : 1,221,667 = 1,221,667 : x
  2. Step 2: Convert to fraction form
    571,467/1,221,667 = 1,221,667/x
  3. Step 3: Cross multiply
    571,467x = 1,221,667 × 1,221,667
  4. Step 4: Simplify right side
    571,467x = 1,492,470,258,889
  5. Step 5: Solve for x
    x = 1,492,470,258,889/571,467
  6. Step 6: Final answer
    x = 2,611,647.32

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Why These Related Problems?

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