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Finding the Third Proportional to 445,156 and 943,284

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Solution

The third proportional to 445,156 and 943,284 is: 1,998,815.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,156 : 943,284 = 943,284 : x
  2. Step 2: Convert to fraction form
    445,156/943,284 = 943,284/x
  3. Step 3: Cross multiply
    445,156x = 943,284 × 943,284
  4. Step 4: Simplify right side
    445,156x = 889,784,704,656
  5. Step 5: Solve for x
    x = 889,784,704,656/445,156
  6. Step 6: Final answer
    x = 1,998,815.48

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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.