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Finding the Third Proportional to 1,162,838,243 and 1,787,366,456

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Solution

The third proportional to 1,162,838,243 and 1,787,366,456 is: 2,747,311,474.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162,838,243 : 1,787,366,456 = 1,787,366,456 : x
  2. Step 2: Convert to fraction form
    1,162,838,243/1,787,366,456 = 1,787,366,456/x
  3. Step 3: Cross multiply
    1,162,838,243x = 1,787,366,456 × 1,787,366,456
  4. Step 4: Simplify right side
    1,162,838,243x = 3,194,678,848,033,999,872
  5. Step 5: Solve for x
    x = 3,194,678,848,033,999,872/1,162,838,243
  6. Step 6: Final answer
    x = 2,747,311,474.55

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.