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Finding the Third Proportional to 684,335,248 and 1,404,949,184

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Solution

The third proportional to 684,335,248 and 1,404,949,184 is: 2,884,378,987.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,335,248 : 1,404,949,184 = 1,404,949,184 : x
  2. Step 2: Convert to fraction form
    684,335,248/1,404,949,184 = 1,404,949,184/x
  3. Step 3: Cross multiply
    684,335,248x = 1,404,949,184 × 1,404,949,184
  4. Step 4: Simplify right side
    684,335,248x = 1,973,882,209,622,265,856
  5. Step 5: Solve for x
    x = 1,973,882,209,622,265,856/684,335,248
  6. Step 6: Final answer
    x = 2,884,378,987.33

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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.