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Finding the Third Proportional to 421,960 and 909,905

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Solution

The third proportional to 421,960 and 909,905 is: 1,962,098.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,960 : 909,905 = 909,905 : x
  2. Step 2: Convert to fraction form
    421,960/909,905 = 909,905/x
  3. Step 3: Cross multiply
    421,960x = 909,905 × 909,905
  4. Step 4: Simplify right side
    421,960x = 827,927,109,025
  5. Step 5: Solve for x
    x = 827,927,109,025/421,960
  6. Step 6: Final answer
    x = 1,962,098.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.