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Finding the Third Proportional to 415,404 and 978,019

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Solution

The third proportional to 415,404 and 978,019 is: 2,302,628.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,404 : 978,019 = 978,019 : x
  2. Step 2: Convert to fraction form
    415,404/978,019 = 978,019/x
  3. Step 3: Cross multiply
    415,404x = 978,019 × 978,019
  4. Step 4: Simplify right side
    415,404x = 956,521,164,361
  5. Step 5: Solve for x
    x = 956,521,164,361/415,404
  6. Step 6: Final answer
    x = 2,302,628.68

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.