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Finding the Third Proportional to 633,738 and 1,409,160

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Solution

The third proportional to 633,738 and 1,409,160 is: 3,133,364.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,738 : 1,409,160 = 1,409,160 : x
  2. Step 2: Convert to fraction form
    633,738/1,409,160 = 1,409,160/x
  3. Step 3: Cross multiply
    633,738x = 1,409,160 × 1,409,160
  4. Step 4: Simplify right side
    633,738x = 1,985,731,905,600
  5. Step 5: Solve for x
    x = 1,985,731,905,600/633,738
  6. Step 6: Final answer
    x = 3,133,364.11

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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.