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Finding the Third Proportional to 445,685 and 960,671

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Solution

The third proportional to 445,685 and 960,671 is: 2,070,719.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,685 : 960,671 = 960,671 : x
  2. Step 2: Convert to fraction form
    445,685/960,671 = 960,671/x
  3. Step 3: Cross multiply
    445,685x = 960,671 × 960,671
  4. Step 4: Simplify right side
    445,685x = 922,888,770,241
  5. Step 5: Solve for x
    x = 922,888,770,241/445,685
  6. Step 6: Final answer
    x = 2,070,719.84

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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.