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Finding the Third Proportional to 1,649,904 and 3,499,824

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Solution

The third proportional to 1,649,904 and 3,499,824 is: 7,423,927.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649,904 : 3,499,824 = 3,499,824 : x
  2. Step 2: Convert to fraction form
    1,649,904/3,499,824 = 3,499,824/x
  3. Step 3: Cross multiply
    1,649,904x = 3,499,824 × 3,499,824
  4. Step 4: Simplify right side
    1,649,904x = 12,248,768,030,976
  5. Step 5: Solve for x
    x = 12,248,768,030,976/1,649,904
  6. Step 6: Final answer
    x = 7,423,927.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.