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Finding the Third Proportional to 427,987.13 and 1,012,142.25

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Solution

The third proportional to 427,987.13 and 1,012,142.25 is: 2,393,604.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,987.13 : 1,012,142.25 = 1,012,142.25 : x
  2. Step 2: Convert to fraction form
    427,987.13/1,012,142.25 = 1,012,142.25/x
  3. Step 3: Cross multiply
    427,987.13x = 1,012,142.25 × 1,012,142.25
  4. Step 4: Simplify right side
    427,987.13x = 1,024,431,934,235.06
  5. Step 5: Solve for x
    x = 1,024,431,934,235.06/427,987.13
  6. Step 6: Final answer
    x = 2,393,604.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.