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Finding the Third Proportional to 584,571 and 1,256,167

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Solution

The third proportional to 584,571 and 1,256,167 is: 2,699,339.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,571 : 1,256,167 = 1,256,167 : x
  2. Step 2: Convert to fraction form
    584,571/1,256,167 = 1,256,167/x
  3. Step 3: Cross multiply
    584,571x = 1,256,167 × 1,256,167
  4. Step 4: Simplify right side
    584,571x = 1,577,955,531,889
  5. Step 5: Solve for x
    x = 1,577,955,531,889/584,571
  6. Step 6: Final answer
    x = 2,699,339.40

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.