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Finding the Third Proportional to 1,049,834 and 2,458,364

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Solution

The third proportional to 1,049,834 and 2,458,364 is: 5,756,675.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049,834 : 2,458,364 = 2,458,364 : x
  2. Step 2: Convert to fraction form
    1,049,834/2,458,364 = 2,458,364/x
  3. Step 3: Cross multiply
    1,049,834x = 2,458,364 × 2,458,364
  4. Step 4: Simplify right side
    1,049,834x = 6,043,553,556,496
  5. Step 5: Solve for x
    x = 6,043,553,556,496/1,049,834
  6. Step 6: Final answer
    x = 5,756,675.39

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.