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Finding the Third Proportional to 440,468 and 961,834

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Solution

The third proportional to 440,468 and 961,834 is: 2,100,322.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,468 : 961,834 = 961,834 : x
  2. Step 2: Convert to fraction form
    440,468/961,834 = 961,834/x
  3. Step 3: Cross multiply
    440,468x = 961,834 × 961,834
  4. Step 4: Simplify right side
    440,468x = 925,124,643,556
  5. Step 5: Solve for x
    x = 925,124,643,556/440,468
  6. Step 6: Final answer
    x = 2,100,322.03

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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.