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Finding the Third Proportional to 557,469 and 1,193,643

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Solution

The third proportional to 557,469 and 1,193,643 is: 2,555,807.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,469 : 1,193,643 = 1,193,643 : x
  2. Step 2: Convert to fraction form
    557,469/1,193,643 = 1,193,643/x
  3. Step 3: Cross multiply
    557,469x = 1,193,643 × 1,193,643
  4. Step 4: Simplify right side
    557,469x = 1,424,783,611,449
  5. Step 5: Solve for x
    x = 1,424,783,611,449/557,469
  6. Step 6: Final answer
    x = 2,555,807.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.