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Finding the Third Proportional to 2,569,980 and 5,714,410

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Solution

The third proportional to 2,569,980 and 5,714,410 is: 12,706,122.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569,980 : 5,714,410 = 5,714,410 : x
  2. Step 2: Convert to fraction form
    2,569,980/5,714,410 = 5,714,410/x
  3. Step 3: Cross multiply
    2,569,980x = 5,714,410 × 5,714,410
  4. Step 4: Simplify right side
    2,569,980x = 32,654,481,648,100
  5. Step 5: Solve for x
    x = 32,654,481,648,100/2,569,980
  6. Step 6: Final answer
    x = 12,706,122.87

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.