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Finding the Third Proportional to 663,576 and 1,007,652

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Solution

The third proportional to 663,576 and 1,007,652 is: 1,530,137.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,576 : 1,007,652 = 1,007,652 : x
  2. Step 2: Convert to fraction form
    663,576/1,007,652 = 1,007,652/x
  3. Step 3: Cross multiply
    663,576x = 1,007,652 × 1,007,652
  4. Step 4: Simplify right side
    663,576x = 1,015,362,553,104
  5. Step 5: Solve for x
    x = 1,015,362,553,104/663,576
  6. Step 6: Final answer
    x = 1,530,137.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.