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Finding the Third Proportional to 436,218 and 912,168

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Solution

The third proportional to 436,218 and 912,168 is: 1,907,418.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,218 : 912,168 = 912,168 : x
  2. Step 2: Convert to fraction form
    436,218/912,168 = 912,168/x
  3. Step 3: Cross multiply
    436,218x = 912,168 × 912,168
  4. Step 4: Simplify right side
    436,218x = 832,050,460,224
  5. Step 5: Solve for x
    x = 832,050,460,224/436,218
  6. Step 6: Final answer
    x = 1,907,418.91

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.