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Finding the Third Proportional to 404,987 and 937,551

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Solution

The third proportional to 404,987 and 937,551 is: 2,170,444.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,987 : 937,551 = 937,551 : x
  2. Step 2: Convert to fraction form
    404,987/937,551 = 937,551/x
  3. Step 3: Cross multiply
    404,987x = 937,551 × 937,551
  4. Step 4: Simplify right side
    404,987x = 879,001,877,601
  5. Step 5: Solve for x
    x = 879,001,877,601/404,987
  6. Step 6: Final answer
    x = 2,170,444.68

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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.