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Finding the Third Proportional to 725,957,510 and 1,115,848,713

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Solution

The third proportional to 725,957,510 and 1,115,848,713 is: 1,715,139,430.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,957,510 : 1,115,848,713 = 1,115,848,713 : x
  2. Step 2: Convert to fraction form
    725,957,510/1,115,848,713 = 1,115,848,713/x
  3. Step 3: Cross multiply
    725,957,510x = 1,115,848,713 × 1,115,848,713
  4. Step 4: Simplify right side
    725,957,510x = 1,245,118,350,303,756,288
  5. Step 5: Solve for x
    x = 1,245,118,350,303,756,288/725,957,510
  6. Step 6: Final answer
    x = 1,715,139,430.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.