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Finding the Third Proportional to 633,705 and 1,409,092

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Solution

The third proportional to 633,705 and 1,409,092 is: 3,133,224.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,705 : 1,409,092 = 1,409,092 : x
  2. Step 2: Convert to fraction form
    633,705/1,409,092 = 1,409,092/x
  3. Step 3: Cross multiply
    633,705x = 1,409,092 × 1,409,092
  4. Step 4: Simplify right side
    633,705x = 1,985,540,264,464
  5. Step 5: Solve for x
    x = 1,985,540,264,464/633,705
  6. Step 6: Final answer
    x = 3,133,224.87

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.