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Finding the Third Proportional to 678,382 and 1,474,672

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Solution

The third proportional to 678,382 and 1,474,672 is: 3,205,653.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,382 : 1,474,672 = 1,474,672 : x
  2. Step 2: Convert to fraction form
    678,382/1,474,672 = 1,474,672/x
  3. Step 3: Cross multiply
    678,382x = 1,474,672 × 1,474,672
  4. Step 4: Simplify right side
    678,382x = 2,174,657,507,584
  5. Step 5: Solve for x
    x = 2,174,657,507,584/678,382
  6. Step 6: Final answer
    x = 3,205,653.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.