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Finding the Third Proportional to 608,736 and 946,261

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Solution

The third proportional to 608,736 and 946,261 is: 1,470,933.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,736 : 946,261 = 946,261 : x
  2. Step 2: Convert to fraction form
    608,736/946,261 = 946,261/x
  3. Step 3: Cross multiply
    608,736x = 946,261 × 946,261
  4. Step 4: Simplify right side
    608,736x = 895,409,880,121
  5. Step 5: Solve for x
    x = 895,409,880,121/608,736
  6. Step 6: Final answer
    x = 1,470,933.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.