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Finding the Third Proportional to 557,794 and 1,148,598

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Solution

The third proportional to 557,794 and 1,148,598 is: 2,365,169.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,794 : 1,148,598 = 1,148,598 : x
  2. Step 2: Convert to fraction form
    557,794/1,148,598 = 1,148,598/x
  3. Step 3: Cross multiply
    557,794x = 1,148,598 × 1,148,598
  4. Step 4: Simplify right side
    557,794x = 1,319,277,365,604
  5. Step 5: Solve for x
    x = 1,319,277,365,604/557,794
  6. Step 6: Final answer
    x = 2,365,169.52

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.