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Finding the Third Proportional to 582,390 and 1,201,932

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Solution

The third proportional to 582,390 and 1,201,932 is: 2,480,538.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,390 : 1,201,932 = 1,201,932 : x
  2. Step 2: Convert to fraction form
    582,390/1,201,932 = 1,201,932/x
  3. Step 3: Cross multiply
    582,390x = 1,201,932 × 1,201,932
  4. Step 4: Simplify right side
    582,390x = 1,444,640,532,624
  5. Step 5: Solve for x
    x = 1,444,640,532,624/582,390
  6. Step 6: Final answer
    x = 2,480,538.01

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.