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Finding the Third Proportional to 894,746 and 1,355,149

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Solution

The third proportional to 894,746 and 1,355,149 is: 2,052,458.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,746 : 1,355,149 = 1,355,149 : x
  2. Step 2: Convert to fraction form
    894,746/1,355,149 = 1,355,149/x
  3. Step 3: Cross multiply
    894,746x = 1,355,149 × 1,355,149
  4. Step 4: Simplify right side
    894,746x = 1,836,428,812,201
  5. Step 5: Solve for x
    x = 1,836,428,812,201/894,746
  6. Step 6: Final answer
    x = 2,052,458.25

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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.