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Finding the Third Proportional to 2,560,714.07 and 5,358,187.97

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Solution

The third proportional to 2,560,714.07 and 5,358,187.97 is: 11,211,786.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560,714.07 : 5,358,187.97 = 5,358,187.97 : x
  2. Step 2: Convert to fraction form
    2,560,714.07/5,358,187.97 = 5,358,187.97/x
  3. Step 3: Cross multiply
    2,560,714.07x = 5,358,187.97 × 5,358,187.97
  4. Step 4: Simplify right side
    2,560,714.07x = 28,710,178,308,457.25
  5. Step 5: Solve for x
    x = 28,710,178,308,457.25/2,560,714.07
  6. Step 6: Final answer
    x = 11,211,786.07

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.