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Finding the Third Proportional to 684,369 and 1,412,100

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Solution

The third proportional to 684,369 and 1,412,100 is: 2,913,671.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,369 : 1,412,100 = 1,412,100 : x
  2. Step 2: Convert to fraction form
    684,369/1,412,100 = 1,412,100/x
  3. Step 3: Cross multiply
    684,369x = 1,412,100 × 1,412,100
  4. Step 4: Simplify right side
    684,369x = 1,994,026,410,000
  5. Step 5: Solve for x
    x = 1,994,026,410,000/684,369
  6. Step 6: Final answer
    x = 2,913,671.44

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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.