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Finding the Third Proportional to 585,612 and 1,222,056

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Solution

The third proportional to 585,612 and 1,222,056 is: 2,550,188.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,612 : 1,222,056 = 1,222,056 : x
  2. Step 2: Convert to fraction form
    585,612/1,222,056 = 1,222,056/x
  3. Step 3: Cross multiply
    585,612x = 1,222,056 × 1,222,056
  4. Step 4: Simplify right side
    585,612x = 1,493,420,867,136
  5. Step 5: Solve for x
    x = 1,493,420,867,136/585,612
  6. Step 6: Final answer
    x = 2,550,188.29

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.