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Finding the Third Proportional to 540,986 and 1,175,284

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Solution

The third proportional to 540,986 and 1,175,284 is: 2,553,286.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,986 : 1,175,284 = 1,175,284 : x
  2. Step 2: Convert to fraction form
    540,986/1,175,284 = 1,175,284/x
  3. Step 3: Cross multiply
    540,986x = 1,175,284 × 1,175,284
  4. Step 4: Simplify right side
    540,986x = 1,381,292,480,656
  5. Step 5: Solve for x
    x = 1,381,292,480,656/540,986
  6. Step 6: Final answer
    x = 2,553,286.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.