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Finding the Third Proportional to 684,335,250 and 1,404,949,191

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Solution

The third proportional to 684,335,250 and 1,404,949,191 is: 2,884,379,007.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,335,250 : 1,404,949,191 = 1,404,949,191 : x
  2. Step 2: Convert to fraction form
    684,335,250/1,404,949,191 = 1,404,949,191/x
  3. Step 3: Cross multiply
    684,335,250x = 1,404,949,191 × 1,404,949,191
  4. Step 4: Simplify right side
    684,335,250x = 1,973,882,229,291,554,560
  5. Step 5: Solve for x
    x = 1,973,882,229,291,554,560/684,335,250
  6. Step 6: Final answer
    x = 2,884,379,007.65

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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.