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Finding the Third Proportional to 563,150 and 1,214,318

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Solution

The third proportional to 563,150 and 1,214,318 is: 2,618,428.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,150 : 1,214,318 = 1,214,318 : x
  2. Step 2: Convert to fraction form
    563,150/1,214,318 = 1,214,318/x
  3. Step 3: Cross multiply
    563,150x = 1,214,318 × 1,214,318
  4. Step 4: Simplify right side
    563,150x = 1,474,568,205,124
  5. Step 5: Solve for x
    x = 1,474,568,205,124/563,150
  6. Step 6: Final answer
    x = 2,618,428.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.