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Finding the Third Proportional to 636,267 and 1,316,823

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Solution

The third proportional to 636,267 and 1,316,823 is: 2,725,306.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,267 : 1,316,823 = 1,316,823 : x
  2. Step 2: Convert to fraction form
    636,267/1,316,823 = 1,316,823/x
  3. Step 3: Cross multiply
    636,267x = 1,316,823 × 1,316,823
  4. Step 4: Simplify right side
    636,267x = 1,734,022,813,329
  5. Step 5: Solve for x
    x = 1,734,022,813,329/636,267
  6. Step 6: Final answer
    x = 2,725,306.85

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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.