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Finding the Third Proportional to 735,642 and 1,550,016

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Solution

The third proportional to 735,642 and 1,550,016 is: 3,265,922.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,642 : 1,550,016 = 1,550,016 : x
  2. Step 2: Convert to fraction form
    735,642/1,550,016 = 1,550,016/x
  3. Step 3: Cross multiply
    735,642x = 1,550,016 × 1,550,016
  4. Step 4: Simplify right side
    735,642x = 2,402,549,600,256
  5. Step 5: Solve for x
    x = 2,402,549,600,256/735,642
  6. Step 6: Final answer
    x = 3,265,922.28

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.