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Finding the Third Proportional to 437,664 and 942,278

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Solution

The third proportional to 437,664 and 942,278 is: 2,028,697.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,664 : 942,278 = 942,278 : x
  2. Step 2: Convert to fraction form
    437,664/942,278 = 942,278/x
  3. Step 3: Cross multiply
    437,664x = 942,278 × 942,278
  4. Step 4: Simplify right side
    437,664x = 887,887,829,284
  5. Step 5: Solve for x
    x = 887,887,829,284/437,664
  6. Step 6: Final answer
    x = 2,028,697.42

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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.