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Finding the Third Proportional to 571,846 and 1,222,221

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Solution

The third proportional to 571,846 and 1,222,221 is: 2,612,284.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,846 : 1,222,221 = 1,222,221 : x
  2. Step 2: Convert to fraction form
    571,846/1,222,221 = 1,222,221/x
  3. Step 3: Cross multiply
    571,846x = 1,222,221 × 1,222,221
  4. Step 4: Simplify right side
    571,846x = 1,493,824,172,841
  5. Step 5: Solve for x
    x = 1,493,824,172,841/571,846
  6. Step 6: Final answer
    x = 2,612,284.03

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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.