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Finding the Third Proportional to 657,596 and 965,652

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Solution

The third proportional to 657,596 and 965,652 is: 1,418,019.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,596 : 965,652 = 965,652 : x
  2. Step 2: Convert to fraction form
    657,596/965,652 = 965,652/x
  3. Step 3: Cross multiply
    657,596x = 965,652 × 965,652
  4. Step 4: Simplify right side
    657,596x = 932,483,785,104
  5. Step 5: Solve for x
    x = 932,483,785,104/657,596
  6. Step 6: Final answer
    x = 1,418,019.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.