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Finding the Third Proportional to 546,319 and 827,097

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Solution

The third proportional to 546,319 and 827,097 is: 1,252,179.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,319 : 827,097 = 827,097 : x
  2. Step 2: Convert to fraction form
    546,319/827,097 = 827,097/x
  3. Step 3: Cross multiply
    546,319x = 827,097 × 827,097
  4. Step 4: Simplify right side
    546,319x = 684,089,447,409
  5. Step 5: Solve for x
    x = 684,089,447,409/546,319
  6. Step 6: Final answer
    x = 1,252,179.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.