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Finding the Third Proportional to 2,000,951 and 4,381,378

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Solution

The third proportional to 2,000,951 and 4,381,378 is: 9,593,674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000,951 : 4,381,378 = 4,381,378 : x
  2. Step 2: Convert to fraction form
    2,000,951/4,381,378 = 4,381,378/x
  3. Step 3: Cross multiply
    2,000,951x = 4,381,378 × 4,381,378
  4. Step 4: Simplify right side
    2,000,951x = 19,196,473,178,884
  5. Step 5: Solve for x
    x = 19,196,473,178,884/2,000,951
  6. Step 6: Final answer
    x = 9,593,674.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.