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Finding the Third Proportional to 455,578 and 967,216

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Solution

The third proportional to 455,578 and 967,216 is: 2,053,450.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,578 : 967,216 = 967,216 : x
  2. Step 2: Convert to fraction form
    455,578/967,216 = 967,216/x
  3. Step 3: Cross multiply
    455,578x = 967,216 × 967,216
  4. Step 4: Simplify right side
    455,578x = 935,506,790,656
  5. Step 5: Solve for x
    x = 935,506,790,656/455,578
  6. Step 6: Final answer
    x = 2,053,450.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.