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Finding the Third Proportional to 451,551 and 940,281

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Solution

The third proportional to 451,551 and 940,281 is: 1,957,981.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,551 : 940,281 = 940,281 : x
  2. Step 2: Convert to fraction form
    451,551/940,281 = 940,281/x
  3. Step 3: Cross multiply
    451,551x = 940,281 × 940,281
  4. Step 4: Simplify right side
    451,551x = 884,128,358,961
  5. Step 5: Solve for x
    x = 884,128,358,961/451,551
  6. Step 6: Final answer
    x = 1,957,981.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.