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Finding the Third Proportional to 657,962 and 964,130

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Solution

The third proportional to 657,962 and 964,130 is: 1,412,766.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,962 : 964,130 = 964,130 : x
  2. Step 2: Convert to fraction form
    657,962/964,130 = 964,130/x
  3. Step 3: Cross multiply
    657,962x = 964,130 × 964,130
  4. Step 4: Simplify right side
    657,962x = 929,546,656,900
  5. Step 5: Solve for x
    x = 929,546,656,900/657,962
  6. Step 6: Final answer
    x = 1,412,766.48

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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.