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Finding the Third Proportional to 661,159 and 982,018

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Solution

The third proportional to 661,159 and 982,018 is: 1,458,589.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,159 : 982,018 = 982,018 : x
  2. Step 2: Convert to fraction form
    661,159/982,018 = 982,018/x
  3. Step 3: Cross multiply
    661,159x = 982,018 × 982,018
  4. Step 4: Simplify right side
    661,159x = 964,359,352,324
  5. Step 5: Solve for x
    x = 964,359,352,324/661,159
  6. Step 6: Final answer
    x = 1,458,589.16

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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.