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Finding the Third Proportional to 1,282,436 and 2,736,412

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Solution

The third proportional to 1,282,436 and 2,736,412 is: 5,838,849.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282,436 : 2,736,412 = 2,736,412 : x
  2. Step 2: Convert to fraction form
    1,282,436/2,736,412 = 2,736,412/x
  3. Step 3: Cross multiply
    1,282,436x = 2,736,412 × 2,736,412
  4. Step 4: Simplify right side
    1,282,436x = 7,487,950,633,744
  5. Step 5: Solve for x
    x = 7,487,950,633,744/1,282,436
  6. Step 6: Final answer
    x = 5,838,849.37

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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.