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Finding the Third Proportional to 717,579,137 and 1,124,198,213

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Solution

The third proportional to 717,579,137 and 1,124,198,213 is: 1,761,229,607.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,579,137 : 1,124,198,213 = 1,124,198,213 : x
  2. Step 2: Convert to fraction form
    717,579,137/1,124,198,213 = 1,124,198,213/x
  3. Step 3: Cross multiply
    717,579,137x = 1,124,198,213 × 1,124,198,213
  4. Step 4: Simplify right side
    717,579,137x = 1,263,821,622,112,393,472
  5. Step 5: Solve for x
    x = 1,263,821,622,112,393,472/717,579,137
  6. Step 6: Final answer
    x = 1,761,229,607.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.