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Finding the Third Proportional to 918,480 and 1,946,224

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Solution

The third proportional to 918,480 and 1,946,224 is: 4,123,974.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,480 : 1,946,224 = 1,946,224 : x
  2. Step 2: Convert to fraction form
    918,480/1,946,224 = 1,946,224/x
  3. Step 3: Cross multiply
    918,480x = 1,946,224 × 1,946,224
  4. Step 4: Simplify right side
    918,480x = 3,787,787,858,176
  5. Step 5: Solve for x
    x = 3,787,787,858,176/918,480
  6. Step 6: Final answer
    x = 4,123,974.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.