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Finding the Third Proportional to 424,250 and 914,916

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Solution

The third proportional to 424,250 and 914,916 is: 1,973,061.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,250 : 914,916 = 914,916 : x
  2. Step 2: Convert to fraction form
    424,250/914,916 = 914,916/x
  3. Step 3: Cross multiply
    424,250x = 914,916 × 914,916
  4. Step 4: Simplify right side
    424,250x = 837,071,287,056
  5. Step 5: Solve for x
    x = 837,071,287,056/424,250
  6. Step 6: Final answer
    x = 1,973,061.37

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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.