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Finding the Third Proportional to 2,381,828 and 5,070,900

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Solution

The third proportional to 2,381,828 and 5,070,900 is: 10,795,920.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381,828 : 5,070,900 = 5,070,900 : x
  2. Step 2: Convert to fraction form
    2,381,828/5,070,900 = 5,070,900/x
  3. Step 3: Cross multiply
    2,381,828x = 5,070,900 × 5,070,900
  4. Step 4: Simplify right side
    2,381,828x = 25,714,026,810,000
  5. Step 5: Solve for x
    x = 25,714,026,810,000/2,381,828
  6. Step 6: Final answer
    x = 10,795,920.95

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.