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Finding the Third Proportional to 735,271.88 and 1,583,172

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Solution

The third proportional to 735,271.88 and 1,583,172 is: 3,408,852.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,271.88 : 1,583,172 = 1,583,172 : x
  2. Step 2: Convert to fraction form
    735,271.88/1,583,172 = 1,583,172/x
  3. Step 3: Cross multiply
    735,271.88x = 1,583,172 × 1,583,172
  4. Step 4: Simplify right side
    735,271.88x = 2,506,433,581,584
  5. Step 5: Solve for x
    x = 2,506,433,581,584/735,271.88
  6. Step 6: Final answer
    x = 3,408,852.79

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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.