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Finding the Third Proportional to 492,012 and 1,065,631

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Solution

The third proportional to 492,012 and 1,065,631 is: 2,308,011.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,012 : 1,065,631 = 1,065,631 : x
  2. Step 2: Convert to fraction form
    492,012/1,065,631 = 1,065,631/x
  3. Step 3: Cross multiply
    492,012x = 1,065,631 × 1,065,631
  4. Step 4: Simplify right side
    492,012x = 1,135,569,428,161
  5. Step 5: Solve for x
    x = 1,135,569,428,161/492,012
  6. Step 6: Final answer
    x = 2,308,011.65

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.