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Finding the Third Proportional to 557,746 and 1,204,045

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Solution

The third proportional to 557,746 and 1,204,045 is: 2,599,255.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,746 : 1,204,045 = 1,204,045 : x
  2. Step 2: Convert to fraction form
    557,746/1,204,045 = 1,204,045/x
  3. Step 3: Cross multiply
    557,746x = 1,204,045 × 1,204,045
  4. Step 4: Simplify right side
    557,746x = 1,449,724,362,025
  5. Step 5: Solve for x
    x = 1,449,724,362,025/557,746
  6. Step 6: Final answer
    x = 2,599,255.51

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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.