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Finding the Third Proportional to 721,422 and 1,567,260

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Solution

The third proportional to 721,422 and 1,567,260 is: 3,404,808.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,422 : 1,567,260 = 1,567,260 : x
  2. Step 2: Convert to fraction form
    721,422/1,567,260 = 1,567,260/x
  3. Step 3: Cross multiply
    721,422x = 1,567,260 × 1,567,260
  4. Step 4: Simplify right side
    721,422x = 2,456,303,907,600
  5. Step 5: Solve for x
    x = 2,456,303,907,600/721,422
  6. Step 6: Final answer
    x = 3,404,808.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.