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Finding the Third Proportional to 434,736 and 916,632

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Solution

The third proportional to 434,736 and 916,632 is: 1,932,699.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,736 : 916,632 = 916,632 : x
  2. Step 2: Convert to fraction form
    434,736/916,632 = 916,632/x
  3. Step 3: Cross multiply
    434,736x = 916,632 × 916,632
  4. Step 4: Simplify right side
    434,736x = 840,214,223,424
  5. Step 5: Solve for x
    x = 840,214,223,424/434,736
  6. Step 6: Final answer
    x = 1,932,699.90

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.