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Finding the Third Proportional to 544,090 and 828,172

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Solution

The third proportional to 544,090 and 828,172 is: 1,260,579.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,090 : 828,172 = 828,172 : x
  2. Step 2: Convert to fraction form
    544,090/828,172 = 828,172/x
  3. Step 3: Cross multiply
    544,090x = 828,172 × 828,172
  4. Step 4: Simplify right side
    544,090x = 685,868,861,584
  5. Step 5: Solve for x
    x = 685,868,861,584/544,090
  6. Step 6: Final answer
    x = 1,260,579.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.