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Finding the Third Proportional to 577,140 and 1,278,828

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Solution

The third proportional to 577,140 and 1,278,828 is: 2,833,629.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,140 : 1,278,828 = 1,278,828 : x
  2. Step 2: Convert to fraction form
    577,140/1,278,828 = 1,278,828/x
  3. Step 3: Cross multiply
    577,140x = 1,278,828 × 1,278,828
  4. Step 4: Simplify right side
    577,140x = 1,635,401,053,584
  5. Step 5: Solve for x
    x = 1,635,401,053,584/577,140
  6. Step 6: Final answer
    x = 2,833,629.71

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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.