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Finding the Third Proportional to 643,410 and 978,939

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Solution

The third proportional to 643,410 and 978,939 is: 1,489,441.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,410 : 978,939 = 978,939 : x
  2. Step 2: Convert to fraction form
    643,410/978,939 = 978,939/x
  3. Step 3: Cross multiply
    643,410x = 978,939 × 978,939
  4. Step 4: Simplify right side
    643,410x = 958,321,565,721
  5. Step 5: Solve for x
    x = 958,321,565,721/643,410
  6. Step 6: Final answer
    x = 1,489,441.52

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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.