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Finding the Third Proportional to 437,812 and 943,976

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Solution

The third proportional to 437,812 and 943,976 is: 2,035,327.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,812 : 943,976 = 943,976 : x
  2. Step 2: Convert to fraction form
    437,812/943,976 = 943,976/x
  3. Step 3: Cross multiply
    437,812x = 943,976 × 943,976
  4. Step 4: Simplify right side
    437,812x = 891,090,688,576
  5. Step 5: Solve for x
    x = 891,090,688,576/437,812
  6. Step 6: Final answer
    x = 2,035,327.24

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Why These Related Problems?

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