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Finding the Third Proportional to 582,411 and 1,245,786

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Solution

The third proportional to 582,411 and 1,245,786 is: 2,664,755.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,411 : 1,245,786 = 1,245,786 : x
  2. Step 2: Convert to fraction form
    582,411/1,245,786 = 1,245,786/x
  3. Step 3: Cross multiply
    582,411x = 1,245,786 × 1,245,786
  4. Step 4: Simplify right side
    582,411x = 1,551,982,757,796
  5. Step 5: Solve for x
    x = 1,551,982,757,796/582,411
  6. Step 6: Final answer
    x = 2,664,755.23

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