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Finding the Third Proportional to 894,288 and 1,916,544

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Solution

The third proportional to 894,288 and 1,916,544 is: 4,107,335.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,288 : 1,916,544 = 1,916,544 : x
  2. Step 2: Convert to fraction form
    894,288/1,916,544 = 1,916,544/x
  3. Step 3: Cross multiply
    894,288x = 1,916,544 × 1,916,544
  4. Step 4: Simplify right side
    894,288x = 3,673,140,903,936
  5. Step 5: Solve for x
    x = 3,673,140,903,936/894,288
  6. Step 6: Final answer
    x = 4,107,335.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.