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Finding the Third Proportional to 404,918 and 937,411

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Solution

The third proportional to 404,918 and 937,411 is: 2,170,166.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,918 : 937,411 = 937,411 : x
  2. Step 2: Convert to fraction form
    404,918/937,411 = 937,411/x
  3. Step 3: Cross multiply
    404,918x = 937,411 × 937,411
  4. Step 4: Simplify right side
    404,918x = 878,739,382,921
  5. Step 5: Solve for x
    x = 878,739,382,921/404,918
  6. Step 6: Final answer
    x = 2,170,166.26

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.