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Finding the Third Proportional to 448,890 and 960,834

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Solution

The third proportional to 448,890 and 960,834 is: 2,056,632.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,890 : 960,834 = 960,834 : x
  2. Step 2: Convert to fraction form
    448,890/960,834 = 960,834/x
  3. Step 3: Cross multiply
    448,890x = 960,834 × 960,834
  4. Step 4: Simplify right side
    448,890x = 923,201,975,556
  5. Step 5: Solve for x
    x = 923,201,975,556/448,890
  6. Step 6: Final answer
    x = 2,056,632.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.