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Finding the Third Proportional to 2,480,138 and 5,314,570

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Solution

The third proportional to 2,480,138 and 5,314,570 is: 11,388,339.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480,138 : 5,314,570 = 5,314,570 : x
  2. Step 2: Convert to fraction form
    2,480,138/5,314,570 = 5,314,570/x
  3. Step 3: Cross multiply
    2,480,138x = 5,314,570 × 5,314,570
  4. Step 4: Simplify right side
    2,480,138x = 28,244,654,284,900
  5. Step 5: Solve for x
    x = 28,244,654,284,900/2,480,138
  6. Step 6: Final answer
    x = 11,388,339.80

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.