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Finding the Third Proportional to 735,104 and 1,587,584

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Solution

The third proportional to 735,104 and 1,587,584 is: 3,428,661.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,104 : 1,587,584 = 1,587,584 : x
  2. Step 2: Convert to fraction form
    735,104/1,587,584 = 1,587,584/x
  3. Step 3: Cross multiply
    735,104x = 1,587,584 × 1,587,584
  4. Step 4: Simplify right side
    735,104x = 2,520,422,957,056
  5. Step 5: Solve for x
    x = 2,520,422,957,056/735,104
  6. Step 6: Final answer
    x = 3,428,661.74

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.