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Finding the Third Proportional to 636,282 and 1,363,645

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Solution

The third proportional to 636,282 and 1,363,645 is: 2,922,489.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,282 : 1,363,645 = 1,363,645 : x
  2. Step 2: Convert to fraction form
    636,282/1,363,645 = 1,363,645/x
  3. Step 3: Cross multiply
    636,282x = 1,363,645 × 1,363,645
  4. Step 4: Simplify right side
    636,282x = 1,859,527,686,025
  5. Step 5: Solve for x
    x = 1,859,527,686,025/636,282
  6. Step 6: Final answer
    x = 2,922,489.85

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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.