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Finding the Third Proportional to 1,017,146.25 and 2,175,855.75

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Solution

The third proportional to 1,017,146.25 and 2,175,855.75 is: 4,654,540.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017,146.25 : 2,175,855.75 = 2,175,855.75 : x
  2. Step 2: Convert to fraction form
    1,017,146.25/2,175,855.75 = 2,175,855.75/x
  3. Step 3: Cross multiply
    1,017,146.25x = 2,175,855.75 × 2,175,855.75
  4. Step 4: Simplify right side
    1,017,146.25x = 4,734,348,244,808.06
  5. Step 5: Solve for x
    x = 4,734,348,244,808.06/1,017,146.25
  6. Step 6: Final answer
    x = 4,654,540.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.