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Finding the Third Proportional to 2,546,683 and 3,820,025

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Solution

The third proportional to 2,546,683 and 3,820,025 is: 5,730,038.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546,683 : 3,820,025 = 3,820,025 : x
  2. Step 2: Convert to fraction form
    2,546,683/3,820,025 = 3,820,025/x
  3. Step 3: Cross multiply
    2,546,683x = 3,820,025 × 3,820,025
  4. Step 4: Simplify right side
    2,546,683x = 14,592,591,000,625
  5. Step 5: Solve for x
    x = 14,592,591,000,625/2,546,683
  6. Step 6: Final answer
    x = 5,730,038.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.