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Finding the Third Proportional to 894,755 and 1,355,156

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Solution

The third proportional to 894,755 and 1,355,156 is: 2,052,458.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,755 : 1,355,156 = 1,355,156 : x
  2. Step 2: Convert to fraction form
    894,755/1,355,156 = 1,355,156/x
  3. Step 3: Cross multiply
    894,755x = 1,355,156 × 1,355,156
  4. Step 4: Simplify right side
    894,755x = 1,836,447,784,336
  5. Step 5: Solve for x
    x = 1,836,447,784,336/894,755
  6. Step 6: Final answer
    x = 2,052,458.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.