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Finding the Third Proportional to 445,695 and 960,696

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Solution

The third proportional to 445,695 and 960,696 is: 2,070,781.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,695 : 960,696 = 960,696 : x
  2. Step 2: Convert to fraction form
    445,695/960,696 = 960,696/x
  3. Step 3: Cross multiply
    445,695x = 960,696 × 960,696
  4. Step 4: Simplify right side
    445,695x = 922,936,804,416
  5. Step 5: Solve for x
    x = 922,936,804,416/445,695
  6. Step 6: Final answer
    x = 2,070,781.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.