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Finding the Third Proportional to 449,575 and 978,475

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Solution

The third proportional to 449,575 and 978,475 is: 2,129,596.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,575 : 978,475 = 978,475 : x
  2. Step 2: Convert to fraction form
    449,575/978,475 = 978,475/x
  3. Step 3: Cross multiply
    449,575x = 978,475 × 978,475
  4. Step 4: Simplify right side
    449,575x = 957,413,325,625
  5. Step 5: Solve for x
    x = 957,413,325,625/449,575
  6. Step 6: Final answer
    x = 2,129,596.45

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Why These Related Problems?

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