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Finding the Third Proportional to 553,824 and 1,200,960

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Solution

The third proportional to 553,824 and 1,200,960 is: 2,604,265.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,824 : 1,200,960 = 1,200,960 : x
  2. Step 2: Convert to fraction form
    553,824/1,200,960 = 1,200,960/x
  3. Step 3: Cross multiply
    553,824x = 1,200,960 × 1,200,960
  4. Step 4: Simplify right side
    553,824x = 1,442,304,921,600
  5. Step 5: Solve for x
    x = 1,442,304,921,600/553,824
  6. Step 6: Final answer
    x = 2,604,265.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.