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Finding the Third Proportional to 434,907 and 882,108

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Solution

The third proportional to 434,907 and 882,108 is: 1,789,151.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,907 : 882,108 = 882,108 : x
  2. Step 2: Convert to fraction form
    434,907/882,108 = 882,108/x
  3. Step 3: Cross multiply
    434,907x = 882,108 × 882,108
  4. Step 4: Simplify right side
    434,907x = 778,114,523,664
  5. Step 5: Solve for x
    x = 778,114,523,664/434,907
  6. Step 6: Final answer
    x = 1,789,151.53

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.