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Finding the Third Proportional to 479,633 and 1,036,113

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Solution

The third proportional to 479,633 and 1,036,113 is: 2,238,232.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,633 : 1,036,113 = 1,036,113 : x
  2. Step 2: Convert to fraction form
    479,633/1,036,113 = 1,036,113/x
  3. Step 3: Cross multiply
    479,633x = 1,036,113 × 1,036,113
  4. Step 4: Simplify right side
    479,633x = 1,073,530,148,769
  5. Step 5: Solve for x
    x = 1,073,530,148,769/479,633
  6. Step 6: Final answer
    x = 2,238,232.46

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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.