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Finding the Third Proportional to 729,686,529 and 1,130,813,219

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Solution

The third proportional to 729,686,529 and 1,130,813,219 is: 1,752,449,148.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,686,529 : 1,130,813,219 = 1,130,813,219 : x
  2. Step 2: Convert to fraction form
    729,686,529/1,130,813,219 = 1,130,813,219/x
  3. Step 3: Cross multiply
    729,686,529x = 1,130,813,219 × 1,130,813,219
  4. Step 4: Simplify right side
    729,686,529x = 1,278,738,536,265,142,016
  5. Step 5: Solve for x
    x = 1,278,738,536,265,142,016/729,686,529
  6. Step 6: Final answer
    x = 1,752,449,148.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.