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Finding the Third Proportional to 876,010 and 968,170

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Solution

The third proportional to 876,010 and 968,170 is: 1,070,025.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,010 : 968,170 = 968,170 : x
  2. Step 2: Convert to fraction form
    876,010/968,170 = 968,170/x
  3. Step 3: Cross multiply
    876,010x = 968,170 × 968,170
  4. Step 4: Simplify right side
    876,010x = 937,353,148,900
  5. Step 5: Solve for x
    x = 937,353,148,900/876,010
  6. Step 6: Final answer
    x = 1,070,025.63

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.