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Finding the Third Proportional to 5,469,258 and 8,490,591

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Solution

The third proportional to 5,469,258 and 8,490,591 is: 13,180,971.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469,258 : 8,490,591 = 8,490,591 : x
  2. Step 2: Convert to fraction form
    5,469,258/8,490,591 = 8,490,591/x
  3. Step 3: Cross multiply
    5,469,258x = 8,490,591 × 8,490,591
  4. Step 4: Simplify right side
    5,469,258x = 72,090,135,529,281
  5. Step 5: Solve for x
    x = 72,090,135,529,281/5,469,258
  6. Step 6: Final answer
    x = 13,180,971.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.