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Finding the Third Proportional to 748,044 and 1,540,206

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Solution

The third proportional to 748,044 and 1,540,206 is: 3,171,249.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,044 : 1,540,206 = 1,540,206 : x
  2. Step 2: Convert to fraction form
    748,044/1,540,206 = 1,540,206/x
  3. Step 3: Cross multiply
    748,044x = 1,540,206 × 1,540,206
  4. Step 4: Simplify right side
    748,044x = 2,372,234,522,436
  5. Step 5: Solve for x
    x = 2,372,234,522,436/748,044
  6. Step 6: Final answer
    x = 3,171,249.98

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.