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Finding the Third Proportional to 450,672 and 979,824

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Solution

The third proportional to 450,672 and 979,824 is: 2,130,274.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,672 : 979,824 = 979,824 : x
  2. Step 2: Convert to fraction form
    450,672/979,824 = 979,824/x
  3. Step 3: Cross multiply
    450,672x = 979,824 × 979,824
  4. Step 4: Simplify right side
    450,672x = 960,055,070,976
  5. Step 5: Solve for x
    x = 960,055,070,976/450,672
  6. Step 6: Final answer
    x = 2,130,274.50

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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.