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Finding the Third Proportional to 557,146 and 848,779

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Solution

The third proportional to 557,146 and 848,779 is: 1,293,064.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,146 : 848,779 = 848,779 : x
  2. Step 2: Convert to fraction form
    557,146/848,779 = 848,779/x
  3. Step 3: Cross multiply
    557,146x = 848,779 × 848,779
  4. Step 4: Simplify right side
    557,146x = 720,425,790,841
  5. Step 5: Solve for x
    x = 720,425,790,841/557,146
  6. Step 6: Final answer
    x = 1,293,064.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.