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Finding the Third Proportional to 735,274 and 1,583,176

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Solution

The third proportional to 735,274 and 1,583,176 is: 3,408,860.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,274 : 1,583,176 = 1,583,176 : x
  2. Step 2: Convert to fraction form
    735,274/1,583,176 = 1,583,176/x
  3. Step 3: Cross multiply
    735,274x = 1,583,176 × 1,583,176
  4. Step 4: Simplify right side
    735,274x = 2,506,446,246,976
  5. Step 5: Solve for x
    x = 2,506,446,246,976/735,274
  6. Step 6: Final answer
    x = 3,408,860.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.