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Finding the Third Proportional to 791,528 and 1,760,224

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Solution

The third proportional to 791,528 and 1,760,224 is: 3,914,439.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,528 : 1,760,224 = 1,760,224 : x
  2. Step 2: Convert to fraction form
    791,528/1,760,224 = 1,760,224/x
  3. Step 3: Cross multiply
    791,528x = 1,760,224 × 1,760,224
  4. Step 4: Simplify right side
    791,528x = 3,098,388,530,176
  5. Step 5: Solve for x
    x = 3,098,388,530,176/791,528
  6. Step 6: Final answer
    x = 3,914,439.58

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.