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Finding the Third Proportional to 969,763 and 1,468,142

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Solution

The third proportional to 969,763 and 1,468,142 is: 2,222,647.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,763 : 1,468,142 = 1,468,142 : x
  2. Step 2: Convert to fraction form
    969,763/1,468,142 = 1,468,142/x
  3. Step 3: Cross multiply
    969,763x = 1,468,142 × 1,468,142
  4. Step 4: Simplify right side
    969,763x = 2,155,440,932,164
  5. Step 5: Solve for x
    x = 2,155,440,932,164/969,763
  6. Step 6: Final answer
    x = 2,222,647.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.