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Finding the Third Proportional to 1,049,884 and 2,169,756

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Solution

The third proportional to 1,049,884 and 2,169,756 is: 4,484,153.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049,884 : 2,169,756 = 2,169,756 : x
  2. Step 2: Convert to fraction form
    1,049,884/2,169,756 = 2,169,756/x
  3. Step 3: Cross multiply
    1,049,884x = 2,169,756 × 2,169,756
  4. Step 4: Simplify right side
    1,049,884x = 4,707,841,099,536
  5. Step 5: Solve for x
    x = 4,707,841,099,536/1,049,884
  6. Step 6: Final answer
    x = 4,484,153.58

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.