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Finding the Third Proportional to 576,441 and 920,873

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Solution

The third proportional to 576,441 and 920,873 is: 1,471,108.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,441 : 920,873 = 920,873 : x
  2. Step 2: Convert to fraction form
    576,441/920,873 = 920,873/x
  3. Step 3: Cross multiply
    576,441x = 920,873 × 920,873
  4. Step 4: Simplify right side
    576,441x = 848,007,082,129
  5. Step 5: Solve for x
    x = 848,007,082,129/576,441
  6. Step 6: Final answer
    x = 1,471,108.20

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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.