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Finding the Third Proportional to 1,051,524 and 2,234,302

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Solution

The third proportional to 1,051,524 and 2,234,302 is: 4,747,495.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051,524 : 2,234,302 = 2,234,302 : x
  2. Step 2: Convert to fraction form
    1,051,524/2,234,302 = 2,234,302/x
  3. Step 3: Cross multiply
    1,051,524x = 2,234,302 × 2,234,302
  4. Step 4: Simplify right side
    1,051,524x = 4,992,105,427,204
  5. Step 5: Solve for x
    x = 4,992,105,427,204/1,051,524
  6. Step 6: Final answer
    x = 4,747,495.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.