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Finding the Third Proportional to 734,657,604 and 1,598,449,704

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Solution

The third proportional to 734,657,604 and 1,598,449,704 is: 3,477,867,025.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,657,604 : 1,598,449,704 = 1,598,449,704 : x
  2. Step 2: Convert to fraction form
    734,657,604/1,598,449,704 = 1,598,449,704/x
  3. Step 3: Cross multiply
    734,657,604x = 1,598,449,704 × 1,598,449,704
  4. Step 4: Simplify right side
    734,657,604x = 2,555,041,456,217,687,552
  5. Step 5: Solve for x
    x = 2,555,041,456,217,687,552/734,657,604
  6. Step 6: Final answer
    x = 3,477,867,025.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.