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Finding the Third Proportional to 684,335,246 and 1,404,949,180

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Solution

The third proportional to 684,335,246 and 1,404,949,180 is: 2,884,378,979.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,335,246 : 1,404,949,180 = 1,404,949,180 : x
  2. Step 2: Convert to fraction form
    684,335,246/1,404,949,180 = 1,404,949,180/x
  3. Step 3: Cross multiply
    684,335,246x = 1,404,949,180 × 1,404,949,180
  4. Step 4: Simplify right side
    684,335,246x = 1,973,882,198,382,672,384
  5. Step 5: Solve for x
    x = 1,973,882,198,382,672,384/684,335,246
  6. Step 6: Final answer
    x = 2,884,378,979.34

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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.