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Finding the Third Proportional to 481,371 and 1,031,058

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Solution

The third proportional to 481,371 and 1,031,058 is: 2,208,443.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,371 : 1,031,058 = 1,031,058 : x
  2. Step 2: Convert to fraction form
    481,371/1,031,058 = 1,031,058/x
  3. Step 3: Cross multiply
    481,371x = 1,031,058 × 1,031,058
  4. Step 4: Simplify right side
    481,371x = 1,063,080,599,364
  5. Step 5: Solve for x
    x = 1,063,080,599,364/481,371
  6. Step 6: Final answer
    x = 2,208,443.38

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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.