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Finding the Third Proportional to 657,950 and 1,415,692

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Solution

The third proportional to 657,950 and 1,415,692 is: 3,046,103.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,950 : 1,415,692 = 1,415,692 : x
  2. Step 2: Convert to fraction form
    657,950/1,415,692 = 1,415,692/x
  3. Step 3: Cross multiply
    657,950x = 1,415,692 × 1,415,692
  4. Step 4: Simplify right side
    657,950x = 2,004,183,838,864
  5. Step 5: Solve for x
    x = 2,004,183,838,864/657,950
  6. Step 6: Final answer
    x = 3,046,103.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.