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Finding the Third Proportional to 445,686 and 960,674

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Solution

The third proportional to 445,686 and 960,674 is: 2,070,728.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,686 : 960,674 = 960,674 : x
  2. Step 2: Convert to fraction form
    445,686/960,674 = 960,674/x
  3. Step 3: Cross multiply
    445,686x = 960,674 × 960,674
  4. Step 4: Simplify right side
    445,686x = 922,894,534,276
  5. Step 5: Solve for x
    x = 922,894,534,276/445,686
  6. Step 6: Final answer
    x = 2,070,728.12

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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.