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Finding the Third Proportional to 486,288 and 1,011,232

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Solution

The third proportional to 486,288 and 1,011,232 is: 2,102,848.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,288 : 1,011,232 = 1,011,232 : x
  2. Step 2: Convert to fraction form
    486,288/1,011,232 = 1,011,232/x
  3. Step 3: Cross multiply
    486,288x = 1,011,232 × 1,011,232
  4. Step 4: Simplify right side
    486,288x = 1,022,590,157,824
  5. Step 5: Solve for x
    x = 1,022,590,157,824/486,288
  6. Step 6: Final answer
    x = 2,102,848.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.