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Finding the Third Proportional to 684,508,388 and 1,494,451,396

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Solution

The third proportional to 684,508,388 and 1,494,451,396 is: 3,262,757,643.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,508,388 : 1,494,451,396 = 1,494,451,396 : x
  2. Step 2: Convert to fraction form
    684,508,388/1,494,451,396 = 1,494,451,396/x
  3. Step 3: Cross multiply
    684,508,388x = 1,494,451,396 × 1,494,451,396
  4. Step 4: Simplify right side
    684,508,388x = 2,233,384,975,006,348,800
  5. Step 5: Solve for x
    x = 2,233,384,975,006,348,800/684,508,388
  6. Step 6: Final answer
    x = 3,262,757,643.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.