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Finding the Third Proportional to 543,788,073 and 831,286,719

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Solution

The third proportional to 543,788,073 and 831,286,719 is: 1,270,784,784.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,788,073 : 831,286,719 = 831,286,719 : x
  2. Step 2: Convert to fraction form
    543,788,073/831,286,719 = 831,286,719/x
  3. Step 3: Cross multiply
    543,788,073x = 831,286,719 × 831,286,719
  4. Step 4: Simplify right side
    543,788,073x = 691,037,609,185,784,960
  5. Step 5: Solve for x
    x = 691,037,609,185,784,960/543,788,073
  6. Step 6: Final answer
    x = 1,270,784,784.55

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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.