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Finding the Third Proportional to 582,753 and 900,009

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Solution

The third proportional to 582,753 and 900,009 is: 1,389,982.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,753 : 900,009 = 900,009 : x
  2. Step 2: Convert to fraction form
    582,753/900,009 = 900,009/x
  3. Step 3: Cross multiply
    582,753x = 900,009 × 900,009
  4. Step 4: Simplify right side
    582,753x = 810,016,200,081
  5. Step 5: Solve for x
    x = 810,016,200,081/582,753
  6. Step 6: Final answer
    x = 1,389,982.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.