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Finding the Third Proportional to 533,585,598 and 1,156,228,536

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Solution

The third proportional to 533,585,598 and 1,156,228,536 is: 2,505,435,739.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,585,598 : 1,156,228,536 = 1,156,228,536 : x
  2. Step 2: Convert to fraction form
    533,585,598/1,156,228,536 = 1,156,228,536/x
  3. Step 3: Cross multiply
    533,585,598x = 1,156,228,536 × 1,156,228,536
  4. Step 4: Simplify right side
    533,585,598x = 1,336,864,427,460,703,232
  5. Step 5: Solve for x
    x = 1,336,864,427,460,703,232/533,585,598
  6. Step 6: Final answer
    x = 2,505,435,739.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.