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Finding the Third Proportional to 582,392 and 1,193,011

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Solution

The third proportional to 582,392 and 1,193,011 is: 2,443,844.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,392 : 1,193,011 = 1,193,011 : x
  2. Step 2: Convert to fraction form
    582,392/1,193,011 = 1,193,011/x
  3. Step 3: Cross multiply
    582,392x = 1,193,011 × 1,193,011
  4. Step 4: Simplify right side
    582,392x = 1,423,275,246,121
  5. Step 5: Solve for x
    x = 1,423,275,246,121/582,392
  6. Step 6: Final answer
    x = 2,443,844.09

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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.