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Finding the Third Proportional to 445,922 and 976,426

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Solution

The third proportional to 445,922 and 976,426 is: 2,138,059.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,922 : 976,426 = 976,426 : x
  2. Step 2: Convert to fraction form
    445,922/976,426 = 976,426/x
  3. Step 3: Cross multiply
    445,922x = 976,426 × 976,426
  4. Step 4: Simplify right side
    445,922x = 953,407,733,476
  5. Step 5: Solve for x
    x = 953,407,733,476/445,922
  6. Step 6: Final answer
    x = 2,138,059.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.