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Finding the Third Proportional to 648,628 and 1,381,450

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Solution

The third proportional to 648,628 and 1,381,450 is: 2,942,216.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,628 : 1,381,450 = 1,381,450 : x
  2. Step 2: Convert to fraction form
    648,628/1,381,450 = 1,381,450/x
  3. Step 3: Cross multiply
    648,628x = 1,381,450 × 1,381,450
  4. Step 4: Simplify right side
    648,628x = 1,908,404,102,500
  5. Step 5: Solve for x
    x = 1,908,404,102,500/648,628
  6. Step 6: Final answer
    x = 2,942,216.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.