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Finding the Third Proportional to 608,616 and 946,103

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Solution

The third proportional to 608,616 and 946,103 is: 1,470,731.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,616 : 946,103 = 946,103 : x
  2. Step 2: Convert to fraction form
    608,616/946,103 = 946,103/x
  3. Step 3: Cross multiply
    608,616x = 946,103 × 946,103
  4. Step 4: Simplify right side
    608,616x = 895,110,886,609
  5. Step 5: Solve for x
    x = 895,110,886,609/608,616
  6. Step 6: Final answer
    x = 1,470,731.77

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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.