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Finding the Third Proportional to 676,769 and 1,504,831

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Solution

The third proportional to 676,769 and 1,504,831 is: 3,346,069.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,769 : 1,504,831 = 1,504,831 : x
  2. Step 2: Convert to fraction form
    676,769/1,504,831 = 1,504,831/x
  3. Step 3: Cross multiply
    676,769x = 1,504,831 × 1,504,831
  4. Step 4: Simplify right side
    676,769x = 2,264,516,338,561
  5. Step 5: Solve for x
    x = 2,264,516,338,561/676,769
  6. Step 6: Final answer
    x = 3,346,069.84

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.