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Finding the Third Proportional to 471,306 and 997,203

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Solution

The third proportional to 471,306 and 997,203 is: 2,109,911.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,306 : 997,203 = 997,203 : x
  2. Step 2: Convert to fraction form
    471,306/997,203 = 997,203/x
  3. Step 3: Cross multiply
    471,306x = 997,203 × 997,203
  4. Step 4: Simplify right side
    471,306x = 994,413,823,209
  5. Step 5: Solve for x
    x = 994,413,823,209/471,306
  6. Step 6: Final answer
    x = 2,109,911.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.