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Finding the Third Proportional to 424,237 and 914,893

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Solution

The third proportional to 424,237 and 914,893 is: 1,973,022.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,237 : 914,893 = 914,893 : x
  2. Step 2: Convert to fraction form
    424,237/914,893 = 914,893/x
  3. Step 3: Cross multiply
    424,237x = 914,893 × 914,893
  4. Step 4: Simplify right side
    424,237x = 837,029,201,449
  5. Step 5: Solve for x
    x = 837,029,201,449/424,237
  6. Step 6: Final answer
    x = 1,973,022.63

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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.