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Finding the Third Proportional to 544,062 and 816,094

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Solution

The third proportional to 544,062 and 816,094 is: 1,224,142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,062 : 816,094 = 816,094 : x
  2. Step 2: Convert to fraction form
    544,062/816,094 = 816,094/x
  3. Step 3: Cross multiply
    544,062x = 816,094 × 816,094
  4. Step 4: Simplify right side
    544,062x = 666,009,416,836
  5. Step 5: Solve for x
    x = 666,009,416,836/544,062
  6. Step 6: Final answer
    x = 1,224,142.50

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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.