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Finding the Third Proportional to 557,042 and 848,619

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Solution

The third proportional to 557,042 and 848,619 is: 1,292,818.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,042 : 848,619 = 848,619 : x
  2. Step 2: Convert to fraction form
    557,042/848,619 = 848,619/x
  3. Step 3: Cross multiply
    557,042x = 848,619 × 848,619
  4. Step 4: Simplify right side
    557,042x = 720,154,207,161
  5. Step 5: Solve for x
    x = 720,154,207,161/557,042
  6. Step 6: Final answer
    x = 1,292,818.51

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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.