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Finding the Third Proportional to 557,852 and 1,145,107

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Solution

The third proportional to 557,852 and 1,145,107 is: 2,350,569.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,852 : 1,145,107 = 1,145,107 : x
  2. Step 2: Convert to fraction form
    557,852/1,145,107 = 1,145,107/x
  3. Step 3: Cross multiply
    557,852x = 1,145,107 × 1,145,107
  4. Step 4: Simplify right side
    557,852x = 1,311,270,041,449
  5. Step 5: Solve for x
    x = 1,311,270,041,449/557,852
  6. Step 6: Final answer
    x = 2,350,569.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.