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Finding the Third Proportional to 423,936 and 896,949

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Solution

The third proportional to 423,936 and 896,949 is: 1,897,733.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,936 : 896,949 = 896,949 : x
  2. Step 2: Convert to fraction form
    423,936/896,949 = 896,949/x
  3. Step 3: Cross multiply
    423,936x = 896,949 × 896,949
  4. Step 4: Simplify right side
    423,936x = 804,517,508,601
  5. Step 5: Solve for x
    x = 804,517,508,601/423,936
  6. Step 6: Final answer
    x = 1,897,733.40

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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.