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Finding the Third Proportional to 684,335,262 and 1,404,949,212

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Solution

The third proportional to 684,335,262 and 1,404,949,212 is: 2,884,379,043.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,335,262 : 1,404,949,212 = 1,404,949,212 : x
  2. Step 2: Convert to fraction form
    684,335,262/1,404,949,212 = 1,404,949,212/x
  3. Step 3: Cross multiply
    684,335,262x = 1,404,949,212 × 1,404,949,212
  4. Step 4: Simplify right side
    684,335,262x = 1,973,882,288,299,420,928
  5. Step 5: Solve for x
    x = 1,973,882,288,299,420,928/684,335,262
  6. Step 6: Final answer
    x = 2,884,379,043.29

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.