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Finding the Third Proportional to 1,636,049 and 3,422,434

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Solution

The third proportional to 1,636,049 and 3,422,434 is: 7,159,354.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636,049 : 3,422,434 = 3,422,434 : x
  2. Step 2: Convert to fraction form
    1,636,049/3,422,434 = 3,422,434/x
  3. Step 3: Cross multiply
    1,636,049x = 3,422,434 × 3,422,434
  4. Step 4: Simplify right side
    1,636,049x = 11,713,054,484,356
  5. Step 5: Solve for x
    x = 11,713,054,484,356/1,636,049
  6. Step 6: Final answer
    x = 7,159,354.33

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.