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Finding the Third Proportional to 633,710 and 1,409,103

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Solution

The third proportional to 633,710 and 1,409,103 is: 3,133,249.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,710 : 1,409,103 = 1,409,103 : x
  2. Step 2: Convert to fraction form
    633,710/1,409,103 = 1,409,103/x
  3. Step 3: Cross multiply
    633,710x = 1,409,103 × 1,409,103
  4. Step 4: Simplify right side
    633,710x = 1,985,571,264,609
  5. Step 5: Solve for x
    x = 1,985,571,264,609/633,710
  6. Step 6: Final answer
    x = 3,133,249.06

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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.