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Finding the Third Proportional to 735,584 and 1,104,112

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Solution

The third proportional to 735,584 and 1,104,112 is: 1,657,272.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,584 : 1,104,112 = 1,104,112 : x
  2. Step 2: Convert to fraction form
    735,584/1,104,112 = 1,104,112/x
  3. Step 3: Cross multiply
    735,584x = 1,104,112 × 1,104,112
  4. Step 4: Simplify right side
    735,584x = 1,219,063,308,544
  5. Step 5: Solve for x
    x = 1,219,063,308,544/735,584
  6. Step 6: Final answer
    x = 1,657,272.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.