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Finding the Third Proportional to 540,986 and 1,157,020

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Solution

The third proportional to 540,986 and 1,157,020 is: 2,474,546.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,986 : 1,157,020 = 1,157,020 : x
  2. Step 2: Convert to fraction form
    540,986/1,157,020 = 1,157,020/x
  3. Step 3: Cross multiply
    540,986x = 1,157,020 × 1,157,020
  4. Step 4: Simplify right side
    540,986x = 1,338,695,280,400
  5. Step 5: Solve for x
    x = 1,338,695,280,400/540,986
  6. Step 6: Final answer
    x = 2,474,546.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.