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Finding the Third Proportional to 601,410 and 1,398,405

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Solution

The third proportional to 601,410 and 1,398,405 is: 3,251,586.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,410 : 1,398,405 = 1,398,405 : x
  2. Step 2: Convert to fraction form
    601,410/1,398,405 = 1,398,405/x
  3. Step 3: Cross multiply
    601,410x = 1,398,405 × 1,398,405
  4. Step 4: Simplify right side
    601,410x = 1,955,536,544,025
  5. Step 5: Solve for x
    x = 1,955,536,544,025/601,410
  6. Step 6: Final answer
    x = 3,251,586.35

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.