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Finding the Third Proportional to 437,680 and 941,888

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Solution

The third proportional to 437,680 and 941,888 is: 2,026,944.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,680 : 941,888 = 941,888 : x
  2. Step 2: Convert to fraction form
    437,680/941,888 = 941,888/x
  3. Step 3: Cross multiply
    437,680x = 941,888 × 941,888
  4. Step 4: Simplify right side
    437,680x = 887,153,004,544
  5. Step 5: Solve for x
    x = 887,153,004,544/437,680
  6. Step 6: Final answer
    x = 2,026,944.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.