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Finding the Third Proportional to 661,234 and 982,130

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Solution

The third proportional to 661,234 and 982,130 is: 1,458,756.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,234 : 982,130 = 982,130 : x
  2. Step 2: Convert to fraction form
    661,234/982,130 = 982,130/x
  3. Step 3: Cross multiply
    661,234x = 982,130 × 982,130
  4. Step 4: Simplify right side
    661,234x = 964,579,336,900
  5. Step 5: Solve for x
    x = 964,579,336,900/661,234
  6. Step 6: Final answer
    x = 1,458,756.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.