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Finding the Third Proportional to 561,920 and 1,219,072

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Solution

The third proportional to 561,920 and 1,219,072 is: 2,644,747.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,920 : 1,219,072 = 1,219,072 : x
  2. Step 2: Convert to fraction form
    561,920/1,219,072 = 1,219,072/x
  3. Step 3: Cross multiply
    561,920x = 1,219,072 × 1,219,072
  4. Step 4: Simplify right side
    561,920x = 1,486,136,541,184
  5. Step 5: Solve for x
    x = 1,486,136,541,184/561,920
  6. Step 6: Final answer
    x = 2,644,747.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.