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Finding the Third Proportional to 684,450 and 1,412,262

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Solution

The third proportional to 684,450 and 1,412,262 is: 2,913,995.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,450 : 1,412,262 = 1,412,262 : x
  2. Step 2: Convert to fraction form
    684,450/1,412,262 = 1,412,262/x
  3. Step 3: Cross multiply
    684,450x = 1,412,262 × 1,412,262
  4. Step 4: Simplify right side
    684,450x = 1,994,483,956,644
  5. Step 5: Solve for x
    x = 1,994,483,956,644/684,450
  6. Step 6: Final answer
    x = 2,913,995.12

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.