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Finding the Third Proportional to 456,864 and 981,768

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Solution

The third proportional to 456,864 and 981,768 is: 2,109,749.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,864 : 981,768 = 981,768 : x
  2. Step 2: Convert to fraction form
    456,864/981,768 = 981,768/x
  3. Step 3: Cross multiply
    456,864x = 981,768 × 981,768
  4. Step 4: Simplify right side
    456,864x = 963,868,405,824
  5. Step 5: Solve for x
    x = 963,868,405,824/456,864
  6. Step 6: Final answer
    x = 2,109,749.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.