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Finding the Third Proportional to 2,546,680 and 3,820,020

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Solution

The third proportional to 2,546,680 and 3,820,020 is: 5,730,030

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546,680 : 3,820,020 = 3,820,020 : x
  2. Step 2: Convert to fraction form
    2,546,680/3,820,020 = 3,820,020/x
  3. Step 3: Cross multiply
    2,546,680x = 3,820,020 × 3,820,020
  4. Step 4: Simplify right side
    2,546,680x = 14,592,552,800,400
  5. Step 5: Solve for x
    x = 14,592,552,800,400/2,546,680
  6. Step 6: Final answer
    x = 5,730,030

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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.