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Finding the Third Proportional to 492,395.25 and 1,071,063.19

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Solution

The third proportional to 492,395.25 and 1,071,063.19 is: 2,329,787.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,395.25 : 1,071,063.19 = 1,071,063.19 : x
  2. Step 2: Convert to fraction form
    492,395.25/1,071,063.19 = 1,071,063.19/x
  3. Step 3: Cross multiply
    492,395.25x = 1,071,063.19 × 1,071,063.19
  4. Step 4: Simplify right side
    492,395.25x = 1,147,176,351,617.66
  5. Step 5: Solve for x
    x = 1,147,176,351,617.66/492,395.25
  6. Step 6: Final answer
    x = 2,329,787.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.