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Finding the Third Proportional to 445,518 and 960,588

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Solution

The third proportional to 445,518 and 960,588 is: 2,071,138.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,518 : 960,588 = 960,588 : x
  2. Step 2: Convert to fraction form
    445,518/960,588 = 960,588/x
  3. Step 3: Cross multiply
    445,518x = 960,588 × 960,588
  4. Step 4: Simplify right side
    445,518x = 922,729,305,744
  5. Step 5: Solve for x
    x = 922,729,305,744/445,518
  6. Step 6: Final answer
    x = 2,071,138.10

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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.