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Finding the Third Proportional to 582,761 and 900,026

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Solution

The third proportional to 582,761 and 900,026 is: 1,390,015.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,761 : 900,026 = 900,026 : x
  2. Step 2: Convert to fraction form
    582,761/900,026 = 900,026/x
  3. Step 3: Cross multiply
    582,761x = 900,026 × 900,026
  4. Step 4: Simplify right side
    582,761x = 810,046,800,676
  5. Step 5: Solve for x
    x = 810,046,800,676/582,761
  6. Step 6: Final answer
    x = 1,390,015.46

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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.