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Finding the Third Proportional to 481,042 and 1,036,648

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Solution

The third proportional to 481,042 and 1,036,648 is: 2,233,981.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,042 : 1,036,648 = 1,036,648 : x
  2. Step 2: Convert to fraction form
    481,042/1,036,648 = 1,036,648/x
  3. Step 3: Cross multiply
    481,042x = 1,036,648 × 1,036,648
  4. Step 4: Simplify right side
    481,042x = 1,074,639,075,904
  5. Step 5: Solve for x
    x = 1,074,639,075,904/481,042
  6. Step 6: Final answer
    x = 2,233,981.81

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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.