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Finding the Third Proportional to 404,448 and 869,952

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Solution

The third proportional to 404,448 and 869,952 is: 1,871,233.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,448 : 869,952 = 869,952 : x
  2. Step 2: Convert to fraction form
    404,448/869,952 = 869,952/x
  3. Step 3: Cross multiply
    404,448x = 869,952 × 869,952
  4. Step 4: Simplify right side
    404,448x = 756,816,482,304
  5. Step 5: Solve for x
    x = 756,816,482,304/404,448
  6. Step 6: Final answer
    x = 1,871,233.09

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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.