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Finding the Third Proportional to 484,796 and 1,132,285

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Solution

The third proportional to 484,796 and 1,132,285 is: 2,644,554.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,796 : 1,132,285 = 1,132,285 : x
  2. Step 2: Convert to fraction form
    484,796/1,132,285 = 1,132,285/x
  3. Step 3: Cross multiply
    484,796x = 1,132,285 × 1,132,285
  4. Step 4: Simplify right side
    484,796x = 1,282,069,321,225
  5. Step 5: Solve for x
    x = 1,282,069,321,225/484,796
  6. Step 6: Final answer
    x = 2,644,554.25

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.