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Finding the Third Proportional to 679,004 and 1,474,822

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Solution

The third proportional to 679,004 and 1,474,822 is: 3,203,368.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,004 : 1,474,822 = 1,474,822 : x
  2. Step 2: Convert to fraction form
    679,004/1,474,822 = 1,474,822/x
  3. Step 3: Cross multiply
    679,004x = 1,474,822 × 1,474,822
  4. Step 4: Simplify right side
    679,004x = 2,175,099,931,684
  5. Step 5: Solve for x
    x = 2,175,099,931,684/679,004
  6. Step 6: Final answer
    x = 3,203,368.36

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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.