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Finding the Third Proportional to 445,918 and 976,418

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Solution

The third proportional to 445,918 and 976,418 is: 2,138,043.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,918 : 976,418 = 976,418 : x
  2. Step 2: Convert to fraction form
    445,918/976,418 = 976,418/x
  3. Step 3: Cross multiply
    445,918x = 976,418 × 976,418
  4. Step 4: Simplify right side
    445,918x = 953,392,110,724
  5. Step 5: Solve for x
    x = 953,392,110,724/445,918
  6. Step 6: Final answer
    x = 2,138,043.57

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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.