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Finding the Third Proportional to 582,409 and 1,245,783

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Solution

The third proportional to 582,409 and 1,245,783 is: 2,664,751.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,409 : 1,245,783 = 1,245,783 : x
  2. Step 2: Convert to fraction form
    582,409/1,245,783 = 1,245,783/x
  3. Step 3: Cross multiply
    582,409x = 1,245,783 × 1,245,783
  4. Step 4: Simplify right side
    582,409x = 1,551,975,283,089
  5. Step 5: Solve for x
    x = 1,551,975,283,089/582,409
  6. Step 6: Final answer
    x = 2,664,751.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.