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Finding the Third Proportional to 449,663 and 978,643

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Solution

The third proportional to 449,663 and 978,643 is: 2,129,910.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,663 : 978,643 = 978,643 : x
  2. Step 2: Convert to fraction form
    449,663/978,643 = 978,643/x
  3. Step 3: Cross multiply
    449,663x = 978,643 × 978,643
  4. Step 4: Simplify right side
    449,663x = 957,742,121,449
  5. Step 5: Solve for x
    x = 957,742,121,449/449,663
  6. Step 6: Final answer
    x = 2,129,910.89

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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.