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Finding the Third Proportional to 1,160,865,404 and 1,775,060,306

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Solution

The third proportional to 1,160,865,404 and 1,775,060,306 is: 2,714,215,686.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160,865,404 : 1,775,060,306 = 1,775,060,306 : x
  2. Step 2: Convert to fraction form
    1,160,865,404/1,775,060,306 = 1,775,060,306/x
  3. Step 3: Cross multiply
    1,160,865,404x = 1,775,060,306 × 1,775,060,306
  4. Step 4: Simplify right side
    1,160,865,404x = 3,150,839,089,936,813,568
  5. Step 5: Solve for x
    x = 3,150,839,089,936,813,568/1,160,865,404
  6. Step 6: Final answer
    x = 2,714,215,686.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.