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Finding the Third Proportional to 744,003 and 1,653,318

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Solution

The third proportional to 744,003 and 1,653,318 is: 3,673,991.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,003 : 1,653,318 = 1,653,318 : x
  2. Step 2: Convert to fraction form
    744,003/1,653,318 = 1,653,318/x
  3. Step 3: Cross multiply
    744,003x = 1,653,318 × 1,653,318
  4. Step 4: Simplify right side
    744,003x = 2,733,460,409,124
  5. Step 5: Solve for x
    x = 2,733,460,409,124/744,003
  6. Step 6: Final answer
    x = 3,673,991.11

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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.