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Finding the Third Proportional to 424,744 and 912,456

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Solution

The third proportional to 424,744 and 912,456 is: 1,960,182.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,744 : 912,456 = 912,456 : x
  2. Step 2: Convert to fraction form
    424,744/912,456 = 912,456/x
  3. Step 3: Cross multiply
    424,744x = 912,456 × 912,456
  4. Step 4: Simplify right side
    424,744x = 832,575,951,936
  5. Step 5: Solve for x
    x = 832,575,951,936/424,744
  6. Step 6: Final answer
    x = 1,960,182.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.