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Finding the Third Proportional to 640,082 and 961,824

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Solution

The third proportional to 640,082 and 961,824 is: 1,445,292.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,082 : 961,824 = 961,824 : x
  2. Step 2: Convert to fraction form
    640,082/961,824 = 961,824/x
  3. Step 3: Cross multiply
    640,082x = 961,824 × 961,824
  4. Step 4: Simplify right side
    640,082x = 925,105,406,976
  5. Step 5: Solve for x
    x = 925,105,406,976/640,082
  6. Step 6: Final answer
    x = 1,445,292.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.