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Finding the Third Proportional to 448,930 and 960,916

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Solution

The third proportional to 448,930 and 960,916 is: 2,056,800.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,930 : 960,916 = 960,916 : x
  2. Step 2: Convert to fraction form
    448,930/960,916 = 960,916/x
  3. Step 3: Cross multiply
    448,930x = 960,916 × 960,916
  4. Step 4: Simplify right side
    448,930x = 923,359,559,056
  5. Step 5: Solve for x
    x = 923,359,559,056/448,930
  6. Step 6: Final answer
    x = 2,056,800.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.