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Finding the Third Proportional to 576,422 and 920,847

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Solution

The third proportional to 576,422 and 920,847 is: 1,471,073.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,422 : 920,847 = 920,847 : x
  2. Step 2: Convert to fraction form
    576,422/920,847 = 920,847/x
  3. Step 3: Cross multiply
    576,422x = 920,847 × 920,847
  4. Step 4: Simplify right side
    576,422x = 847,959,197,409
  5. Step 5: Solve for x
    x = 847,959,197,409/576,422
  6. Step 6: Final answer
    x = 1,471,073.62

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.