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Finding the Third Proportional to 744,810 and 1,619,220

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Solution

The third proportional to 744,810 and 1,619,220 is: 3,520,190.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,810 : 1,619,220 = 1,619,220 : x
  2. Step 2: Convert to fraction form
    744,810/1,619,220 = 1,619,220/x
  3. Step 3: Cross multiply
    744,810x = 1,619,220 × 1,619,220
  4. Step 4: Simplify right side
    744,810x = 2,621,873,408,400
  5. Step 5: Solve for x
    x = 2,621,873,408,400/744,810
  6. Step 6: Final answer
    x = 3,520,190.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.