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Finding the Third Proportional to 489,635 and 1,038,049

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Solution

The third proportional to 489,635 and 1,038,049 is: 2,200,712.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,635 : 1,038,049 = 1,038,049 : x
  2. Step 2: Convert to fraction form
    489,635/1,038,049 = 1,038,049/x
  3. Step 3: Cross multiply
    489,635x = 1,038,049 × 1,038,049
  4. Step 4: Simplify right side
    489,635x = 1,077,545,726,401
  5. Step 5: Solve for x
    x = 1,077,545,726,401/489,635
  6. Step 6: Final answer
    x = 2,200,712.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.