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Finding the Third Proportional to 587,956 and 1,287,960

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Solution

The third proportional to 587,956 and 1,287,960 is: 2,821,369.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,956 : 1,287,960 = 1,287,960 : x
  2. Step 2: Convert to fraction form
    587,956/1,287,960 = 1,287,960/x
  3. Step 3: Cross multiply
    587,956x = 1,287,960 × 1,287,960
  4. Step 4: Simplify right side
    587,956x = 1,658,840,961,600
  5. Step 5: Solve for x
    x = 1,658,840,961,600/587,956
  6. Step 6: Final answer
    x = 2,821,369.22

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.