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Finding the Third Proportional to 557,396 and 1,204,216

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Solution

The third proportional to 557,396 and 1,204,216 is: 2,601,626.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,396 : 1,204,216 = 1,204,216 : x
  2. Step 2: Convert to fraction form
    557,396/1,204,216 = 1,204,216/x
  3. Step 3: Cross multiply
    557,396x = 1,204,216 × 1,204,216
  4. Step 4: Simplify right side
    557,396x = 1,450,136,174,656
  5. Step 5: Solve for x
    x = 1,450,136,174,656/557,396
  6. Step 6: Final answer
    x = 2,601,626.45

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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.