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Finding the Third Proportional to 449,656 and 978,628

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Solution

The third proportional to 449,656 and 978,628 is: 2,129,878.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,656 : 978,628 = 978,628 : x
  2. Step 2: Convert to fraction form
    449,656/978,628 = 978,628/x
  3. Step 3: Cross multiply
    449,656x = 978,628 × 978,628
  4. Step 4: Simplify right side
    449,656x = 957,712,762,384
  5. Step 5: Solve for x
    x = 957,712,762,384/449,656
  6. Step 6: Final answer
    x = 2,129,878.76

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.