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Finding the Third Proportional to 485,115 and 1,036,729

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Solution

The third proportional to 485,115 and 1,036,729 is: 2,215,571.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,115 : 1,036,729 = 1,036,729 : x
  2. Step 2: Convert to fraction form
    485,115/1,036,729 = 1,036,729/x
  3. Step 3: Cross multiply
    485,115x = 1,036,729 × 1,036,729
  4. Step 4: Simplify right side
    485,115x = 1,074,807,019,441
  5. Step 5: Solve for x
    x = 1,074,807,019,441/485,115
  6. Step 6: Final answer
    x = 2,215,571.61

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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.