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Finding the Third Proportional to 568,112 and 1,237,920

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Solution

The third proportional to 568,112 and 1,237,920 is: 2,697,436.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,112 : 1,237,920 = 1,237,920 : x
  2. Step 2: Convert to fraction form
    568,112/1,237,920 = 1,237,920/x
  3. Step 3: Cross multiply
    568,112x = 1,237,920 × 1,237,920
  4. Step 4: Simplify right side
    568,112x = 1,532,445,926,400
  5. Step 5: Solve for x
    x = 1,532,445,926,400/568,112
  6. Step 6: Final answer
    x = 2,697,436.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.