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Finding the Third Proportional to 558,880 and 1,215,004

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Solution

The third proportional to 558,880 and 1,215,004 is: 2,641,416.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,880 : 1,215,004 = 1,215,004 : x
  2. Step 2: Convert to fraction form
    558,880/1,215,004 = 1,215,004/x
  3. Step 3: Cross multiply
    558,880x = 1,215,004 × 1,215,004
  4. Step 4: Simplify right side
    558,880x = 1,476,234,720,016
  5. Step 5: Solve for x
    x = 1,476,234,720,016/558,880
  6. Step 6: Final answer
    x = 2,641,416.26

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