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Finding the Third Proportional to 748,048 and 1,052,184

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Solution

The third proportional to 748,048 and 1,052,184 is: 1,479,973.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,048 : 1,052,184 = 1,052,184 : x
  2. Step 2: Convert to fraction form
    748,048/1,052,184 = 1,052,184/x
  3. Step 3: Cross multiply
    748,048x = 1,052,184 × 1,052,184
  4. Step 4: Simplify right side
    748,048x = 1,107,091,169,856
  5. Step 5: Solve for x
    x = 1,107,091,169,856/748,048
  6. Step 6: Final answer
    x = 1,479,973.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.