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Finding the Third Proportional to 654,238 and 987,577

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Solution

The third proportional to 654,238 and 987,577 is: 1,490,754.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,238 : 987,577 = 987,577 : x
  2. Step 2: Convert to fraction form
    654,238/987,577 = 987,577/x
  3. Step 3: Cross multiply
    654,238x = 987,577 × 987,577
  4. Step 4: Simplify right side
    654,238x = 975,308,330,929
  5. Step 5: Solve for x
    x = 975,308,330,929/654,238
  6. Step 6: Final answer
    x = 1,490,754.64

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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.