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Finding the Third Proportional to 582,779 and 1,194,446

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Solution

The third proportional to 582,779 and 1,194,446 is: 2,448,099.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,779 : 1,194,446 = 1,194,446 : x
  2. Step 2: Convert to fraction form
    582,779/1,194,446 = 1,194,446/x
  3. Step 3: Cross multiply
    582,779x = 1,194,446 × 1,194,446
  4. Step 4: Simplify right side
    582,779x = 1,426,701,246,916
  5. Step 5: Solve for x
    x = 1,426,701,246,916/582,779
  6. Step 6: Final answer
    x = 2,448,099.96

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.