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Finding the Third Proportional to 648,620 and 1,381,429

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Solution

The third proportional to 648,620 and 1,381,429 is: 2,942,163.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,620 : 1,381,429 = 1,381,429 : x
  2. Step 2: Convert to fraction form
    648,620/1,381,429 = 1,381,429/x
  3. Step 3: Cross multiply
    648,620x = 1,381,429 × 1,381,429
  4. Step 4: Simplify right side
    648,620x = 1,908,346,082,041
  5. Step 5: Solve for x
    x = 1,908,346,082,041/648,620
  6. Step 6: Final answer
    x = 2,942,163.49

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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.