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Finding the Third Proportional to 576,322 and 1,241,419

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Solution

The third proportional to 576,322 and 1,241,419 is: 2,674,062.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,322 : 1,241,419 = 1,241,419 : x
  2. Step 2: Convert to fraction form
    576,322/1,241,419 = 1,241,419/x
  3. Step 3: Cross multiply
    576,322x = 1,241,419 × 1,241,419
  4. Step 4: Simplify right side
    576,322x = 1,541,121,133,561
  5. Step 5: Solve for x
    x = 1,541,121,133,561/576,322
  6. Step 6: Final answer
    x = 2,674,062.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.