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Finding the Third Proportional to 574,920 and 1,222,416

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Solution

The third proportional to 574,920 and 1,222,416 is: 2,599,145.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,920 : 1,222,416 = 1,222,416 : x
  2. Step 2: Convert to fraction form
    574,920/1,222,416 = 1,222,416/x
  3. Step 3: Cross multiply
    574,920x = 1,222,416 × 1,222,416
  4. Step 4: Simplify right side
    574,920x = 1,494,300,877,056
  5. Step 5: Solve for x
    x = 1,494,300,877,056/574,920
  6. Step 6: Final answer
    x = 2,599,145.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.