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Finding the Third Proportional to 943,852 and 2,037,968

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Solution

The third proportional to 943,852 and 2,037,968 is: 4,400,386.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,852 : 2,037,968 = 2,037,968 : x
  2. Step 2: Convert to fraction form
    943,852/2,037,968 = 2,037,968/x
  3. Step 3: Cross multiply
    943,852x = 2,037,968 × 2,037,968
  4. Step 4: Simplify right side
    943,852x = 4,153,313,569,024
  5. Step 5: Solve for x
    x = 4,153,313,569,024/943,852
  6. Step 6: Final answer
    x = 4,400,386.47

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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.