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Finding the Third Proportional to 484,754 and 1,035,494

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Solution

The third proportional to 484,754 and 1,035,494 is: 2,211,942.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,754 : 1,035,494 = 1,035,494 : x
  2. Step 2: Convert to fraction form
    484,754/1,035,494 = 1,035,494/x
  3. Step 3: Cross multiply
    484,754x = 1,035,494 × 1,035,494
  4. Step 4: Simplify right side
    484,754x = 1,072,247,824,036
  5. Step 5: Solve for x
    x = 1,072,247,824,036/484,754
  6. Step 6: Final answer
    x = 2,211,942.19

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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.