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Finding the Third Proportional to 484,144 and 1,125,040

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Solution

The third proportional to 484,144 and 1,125,040 is: 2,614,335.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,144 : 1,125,040 = 1,125,040 : x
  2. Step 2: Convert to fraction form
    484,144/1,125,040 = 1,125,040/x
  3. Step 3: Cross multiply
    484,144x = 1,125,040 × 1,125,040
  4. Step 4: Simplify right side
    484,144x = 1,265,715,001,600
  5. Step 5: Solve for x
    x = 1,265,715,001,600/484,144
  6. Step 6: Final answer
    x = 2,614,335.82

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.