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Finding the Third Proportional to 516,622 and 1,132,928

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Solution

The third proportional to 516,622 and 1,132,928 is: 2,484,458.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,622 : 1,132,928 = 1,132,928 : x
  2. Step 2: Convert to fraction form
    516,622/1,132,928 = 1,132,928/x
  3. Step 3: Cross multiply
    516,622x = 1,132,928 × 1,132,928
  4. Step 4: Simplify right side
    516,622x = 1,283,525,853,184
  5. Step 5: Solve for x
    x = 1,283,525,853,184/516,622
  6. Step 6: Final answer
    x = 2,484,458.37

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.