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Finding the Third Proportional to 1,019,824,614 and 2,254,019,184

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Solution

The third proportional to 1,019,824,614 and 2,254,019,184 is: 4,981,839,437.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019,824,614 : 2,254,019,184 = 2,254,019,184 : x
  2. Step 2: Convert to fraction form
    1,019,824,614/2,254,019,184 = 2,254,019,184/x
  3. Step 3: Cross multiply
    1,019,824,614x = 2,254,019,184 × 2,254,019,184
  4. Step 4: Simplify right side
    1,019,824,614x = 5,080,602,481,840,025,600
  5. Step 5: Solve for x
    x = 5,080,602,481,840,025,600/1,019,824,614
  6. Step 6: Final answer
    x = 4,981,839,437.97

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.