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Finding the Third Proportional to 1,032,869 and 2,237,256

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Solution

The third proportional to 1,032,869 and 2,237,256 is: 4,846,030.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032,869 : 2,237,256 = 2,237,256 : x
  2. Step 2: Convert to fraction form
    1,032,869/2,237,256 = 2,237,256/x
  3. Step 3: Cross multiply
    1,032,869x = 2,237,256 × 2,237,256
  4. Step 4: Simplify right side
    1,032,869x = 5,005,314,409,536
  5. Step 5: Solve for x
    x = 5,005,314,409,536/1,032,869
  6. Step 6: Final answer
    x = 4,846,030.24

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.