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Finding the Third Proportional to 673,182 and 1,440,928.50

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Solution

The third proportional to 673,182 and 1,440,928.50 is: 3,084,269.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,182 : 1,440,928.50 = 1,440,928.50 : x
  2. Step 2: Convert to fraction form
    673,182/1,440,928.50 = 1,440,928.50/x
  3. Step 3: Cross multiply
    673,182x = 1,440,928.50 × 1,440,928.50
  4. Step 4: Simplify right side
    673,182x = 2,076,274,942,112.25
  5. Step 5: Solve for x
    x = 2,076,274,942,112.25/673,182
  6. Step 6: Final answer
    x = 3,084,269.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.