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Finding the Third Proportional to 661,169 and 982,033

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Solution

The third proportional to 661,169 and 982,033 is: 1,458,611.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,169 : 982,033 = 982,033 : x
  2. Step 2: Convert to fraction form
    661,169/982,033 = 982,033/x
  3. Step 3: Cross multiply
    661,169x = 982,033 × 982,033
  4. Step 4: Simplify right side
    661,169x = 964,388,813,089
  5. Step 5: Solve for x
    x = 964,388,813,089/661,169
  6. Step 6: Final answer
    x = 1,458,611.66

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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.