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Finding the Third Proportional to 404,456 and 869,968

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Solution

The third proportional to 404,456 and 869,968 is: 1,871,264.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,456 : 869,968 = 869,968 : x
  2. Step 2: Convert to fraction form
    404,456/869,968 = 869,968/x
  3. Step 3: Cross multiply
    404,456x = 869,968 × 869,968
  4. Step 4: Simplify right side
    404,456x = 756,844,321,024
  5. Step 5: Solve for x
    x = 756,844,321,024/404,456
  6. Step 6: Final answer
    x = 1,871,264.91

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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.