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Finding the Third Proportional to 543,788,078 and 831,286,726

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Solution

The third proportional to 543,788,078 and 831,286,726 is: 1,270,784,794.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,788,078 : 831,286,726 = 831,286,726 : x
  2. Step 2: Convert to fraction form
    543,788,078/831,286,726 = 831,286,726/x
  3. Step 3: Cross multiply
    543,788,078x = 831,286,726 × 831,286,726
  4. Step 4: Simplify right side
    543,788,078x = 691,037,620,823,799,040
  5. Step 5: Solve for x
    x = 691,037,620,823,799,040/543,788,078
  6. Step 6: Final answer
    x = 1,270,784,794.26

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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.