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Finding the Third Proportional to 467,659 and 1,010,045

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Solution

The third proportional to 467,659 and 1,010,045 is: 2,181,484.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,659 : 1,010,045 = 1,010,045 : x
  2. Step 2: Convert to fraction form
    467,659/1,010,045 = 1,010,045/x
  3. Step 3: Cross multiply
    467,659x = 1,010,045 × 1,010,045
  4. Step 4: Simplify right side
    467,659x = 1,020,190,902,025
  5. Step 5: Solve for x
    x = 1,020,190,902,025/467,659
  6. Step 6: Final answer
    x = 2,181,484.59

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.