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Finding the Third Proportional to 1,056,640 and 2,281,728

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Solution

The third proportional to 1,056,640 and 2,281,728 is: 4,927,205.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056,640 : 2,281,728 = 2,281,728 : x
  2. Step 2: Convert to fraction form
    1,056,640/2,281,728 = 2,281,728/x
  3. Step 3: Cross multiply
    1,056,640x = 2,281,728 × 2,281,728
  4. Step 4: Simplify right side
    1,056,640x = 5,206,282,665,984
  5. Step 5: Solve for x
    x = 5,206,282,665,984/1,056,640
  6. Step 6: Final answer
    x = 4,927,205.73

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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.