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Finding the Third Proportional to 747,048 and 1,599,072

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Solution

The third proportional to 747,048 and 1,599,072 is: 3,422,847.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,048 : 1,599,072 = 1,599,072 : x
  2. Step 2: Convert to fraction form
    747,048/1,599,072 = 1,599,072/x
  3. Step 3: Cross multiply
    747,048x = 1,599,072 × 1,599,072
  4. Step 4: Simplify right side
    747,048x = 2,557,031,261,184
  5. Step 5: Solve for x
    x = 2,557,031,261,184/747,048
  6. Step 6: Final answer
    x = 3,422,847.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.