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Finding the Third Proportional to 1,945,012 and 2,854,410

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Solution

The third proportional to 1,945,012 and 2,854,410 is: 4,189,000.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945,012 : 2,854,410 = 2,854,410 : x
  2. Step 2: Convert to fraction form
    1,945,012/2,854,410 = 2,854,410/x
  3. Step 3: Cross multiply
    1,945,012x = 2,854,410 × 2,854,410
  4. Step 4: Simplify right side
    1,945,012x = 8,147,656,448,100
  5. Step 5: Solve for x
    x = 8,147,656,448,100/1,945,012
  6. Step 6: Final answer
    x = 4,189,000.61

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.