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Finding the Third Proportional to 663,004 and 1,451,400

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Solution

The third proportional to 663,004 and 1,451,400 is: 3,177,299.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,004 : 1,451,400 = 1,451,400 : x
  2. Step 2: Convert to fraction form
    663,004/1,451,400 = 1,451,400/x
  3. Step 3: Cross multiply
    663,004x = 1,451,400 × 1,451,400
  4. Step 4: Simplify right side
    663,004x = 2,106,561,960,000
  5. Step 5: Solve for x
    x = 2,106,561,960,000/663,004
  6. Step 6: Final answer
    x = 3,177,299.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.