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Finding the Third Proportional to 1,744,949.25 and 2,619,270.84

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Solution

The third proportional to 1,744,949.25 and 2,619,270.84 is: 3,931,678.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744,949.25 : 2,619,270.84 = 2,619,270.84 : x
  2. Step 2: Convert to fraction form
    1,744,949.25/2,619,270.84 = 2,619,270.84/x
  3. Step 3: Cross multiply
    1,744,949.25x = 2,619,270.84 × 2,619,270.84
  4. Step 4: Simplify right side
    1,744,949.25x = 6,860,579,752,918.84
  5. Step 5: Solve for x
    x = 6,860,579,752,918.84/1,744,949.25
  6. Step 6: Final answer
    x = 3,931,678.67

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Why These Related Problems?

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