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Finding the Third Proportional to 537,216 and 1,129,728

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Solution

The third proportional to 537,216 and 1,129,728 is: 2,375,739.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,216 : 1,129,728 = 1,129,728 : x
  2. Step 2: Convert to fraction form
    537,216/1,129,728 = 1,129,728/x
  3. Step 3: Cross multiply
    537,216x = 1,129,728 × 1,129,728
  4. Step 4: Simplify right side
    537,216x = 1,276,285,353,984
  5. Step 5: Solve for x
    x = 1,276,285,353,984/537,216
  6. Step 6: Final answer
    x = 2,375,739.65

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.