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Finding the Third Proportional to 450,460 and 979,326

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Solution

The third proportional to 450,460 and 979,326 is: 2,129,111.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,460 : 979,326 = 979,326 : x
  2. Step 2: Convert to fraction form
    450,460/979,326 = 979,326/x
  3. Step 3: Cross multiply
    450,460x = 979,326 × 979,326
  4. Step 4: Simplify right side
    450,460x = 959,079,414,276
  5. Step 5: Solve for x
    x = 959,079,414,276/450,460
  6. Step 6: Final answer
    x = 2,129,111.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.