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Finding the Third Proportional to 655,206 and 987,427

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Solution

The third proportional to 655,206 and 987,427 is: 1,488,100.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,206 : 987,427 = 987,427 : x
  2. Step 2: Convert to fraction form
    655,206/987,427 = 987,427/x
  3. Step 3: Cross multiply
    655,206x = 987,427 × 987,427
  4. Step 4: Simplify right side
    655,206x = 975,012,080,329
  5. Step 5: Solve for x
    x = 975,012,080,329/655,206
  6. Step 6: Final answer
    x = 1,488,100.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.