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Finding the Third Proportional to 632,058 and 1,365,684

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Solution

The third proportional to 632,058 and 1,365,684 is: 2,950,825.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,058 : 1,365,684 = 1,365,684 : x
  2. Step 2: Convert to fraction form
    632,058/1,365,684 = 1,365,684/x
  3. Step 3: Cross multiply
    632,058x = 1,365,684 × 1,365,684
  4. Step 4: Simplify right side
    632,058x = 1,865,092,787,856
  5. Step 5: Solve for x
    x = 1,865,092,787,856/632,058
  6. Step 6: Final answer
    x = 2,950,825.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.