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Finding the Third Proportional to 467,568 and 1,014,840

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Solution

The third proportional to 467,568 and 1,014,840 is: 2,202,674.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,568 : 1,014,840 = 1,014,840 : x
  2. Step 2: Convert to fraction form
    467,568/1,014,840 = 1,014,840/x
  3. Step 3: Cross multiply
    467,568x = 1,014,840 × 1,014,840
  4. Step 4: Simplify right side
    467,568x = 1,029,900,225,600
  5. Step 5: Solve for x
    x = 1,029,900,225,600/467,568
  6. Step 6: Final answer
    x = 2,202,674.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.