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Finding the Third Proportional to 636,266 and 1,363,610

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Solution

The third proportional to 636,266 and 1,363,610 is: 2,922,413.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,266 : 1,363,610 = 1,363,610 : x
  2. Step 2: Convert to fraction form
    636,266/1,363,610 = 1,363,610/x
  3. Step 3: Cross multiply
    636,266x = 1,363,610 × 1,363,610
  4. Step 4: Simplify right side
    636,266x = 1,859,432,232,100
  5. Step 5: Solve for x
    x = 1,859,432,232,100/636,266
  6. Step 6: Final answer
    x = 2,922,413.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.