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Finding the Third Proportional to 543,954 and 898,956

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Solution

The third proportional to 543,954 and 898,956 is: 1,485,643.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,954 : 898,956 = 898,956 : x
  2. Step 2: Convert to fraction form
    543,954/898,956 = 898,956/x
  3. Step 3: Cross multiply
    543,954x = 898,956 × 898,956
  4. Step 4: Simplify right side
    543,954x = 808,121,889,936
  5. Step 5: Solve for x
    x = 808,121,889,936/543,954
  6. Step 6: Final answer
    x = 1,485,643.80

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.