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Finding the Third Proportional to 894,417 and 1,338,084

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Solution

The third proportional to 894,417 and 1,338,084 is: 2,001,827.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,417 : 1,338,084 = 1,338,084 : x
  2. Step 2: Convert to fraction form
    894,417/1,338,084 = 1,338,084/x
  3. Step 3: Cross multiply
    894,417x = 1,338,084 × 1,338,084
  4. Step 4: Simplify right side
    894,417x = 1,790,468,791,056
  5. Step 5: Solve for x
    x = 1,790,468,791,056/894,417
  6. Step 6: Final answer
    x = 2,001,827.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.