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Finding the Third Proportional to 935,824 and 2,049,696

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Solution

The third proportional to 935,824 and 2,049,696 is: 4,489,363.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,824 : 2,049,696 = 2,049,696 : x
  2. Step 2: Convert to fraction form
    935,824/2,049,696 = 2,049,696/x
  3. Step 3: Cross multiply
    935,824x = 2,049,696 × 2,049,696
  4. Step 4: Simplify right side
    935,824x = 4,201,253,692,416
  5. Step 5: Solve for x
    x = 4,201,253,692,416/935,824
  6. Step 6: Final answer
    x = 4,489,363.06

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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.