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Finding the Third Proportional to 1,086,694,315.50 and 1,694,611,596

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Solution

The third proportional to 1,086,694,315.50 and 1,694,611,596 is: 2,642,609,260.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086,694,315.50 : 1,694,611,596 = 1,694,611,596 : x
  2. Step 2: Convert to fraction form
    1,086,694,315.50/1,694,611,596 = 1,694,611,596/x
  3. Step 3: Cross multiply
    1,086,694,315.50x = 1,694,611,596 × 1,694,611,596
  4. Step 4: Simplify right side
    1,086,694,315.50x = 2,871,708,461,297,667,072
  5. Step 5: Solve for x
    x = 2,871,708,461,297,667,072/1,086,694,315.50
  6. Step 6: Final answer
    x = 2,642,609,260.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.