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Finding the Third Proportional to 437,978 and 944,320

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Solution

The third proportional to 437,978 and 944,320 is: 2,036,038.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,978 : 944,320 = 944,320 : x
  2. Step 2: Convert to fraction form
    437,978/944,320 = 944,320/x
  3. Step 3: Cross multiply
    437,978x = 944,320 × 944,320
  4. Step 4: Simplify right side
    437,978x = 891,740,262,400
  5. Step 5: Solve for x
    x = 891,740,262,400/437,978
  6. Step 6: Final answer
    x = 2,036,038.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.