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Finding the Third Proportional to 678,984 and 1,474,742

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Solution

The third proportional to 678,984 and 1,474,742 is: 3,203,115.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,984 : 1,474,742 = 1,474,742 : x
  2. Step 2: Convert to fraction form
    678,984/1,474,742 = 1,474,742/x
  3. Step 3: Cross multiply
    678,984x = 1,474,742 × 1,474,742
  4. Step 4: Simplify right side
    678,984x = 2,174,863,966,564
  5. Step 5: Solve for x
    x = 2,174,863,966,564/678,984
  6. Step 6: Final answer
    x = 3,203,115.19

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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.