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Finding the Third Proportional to 3,209,669 and 6,924,904

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Solution

The third proportional to 3,209,669 and 6,924,904 is: 14,940,573.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209,669 : 6,924,904 = 6,924,904 : x
  2. Step 2: Convert to fraction form
    3,209,669/6,924,904 = 6,924,904/x
  3. Step 3: Cross multiply
    3,209,669x = 6,924,904 × 6,924,904
  4. Step 4: Simplify right side
    3,209,669x = 47,954,295,409,216
  5. Step 5: Solve for x
    x = 47,954,295,409,216/3,209,669
  6. Step 6: Final answer
    x = 14,940,573.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.