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Finding the Third Proportional to 1,628,214 and 2,393,567

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Solution

The third proportional to 1,628,214 and 2,393,567 is: 3,518,679.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628,214 : 2,393,567 = 2,393,567 : x
  2. Step 2: Convert to fraction form
    1,628,214/2,393,567 = 2,393,567/x
  3. Step 3: Cross multiply
    1,628,214x = 2,393,567 × 2,393,567
  4. Step 4: Simplify right side
    1,628,214x = 5,729,162,983,489
  5. Step 5: Solve for x
    x = 5,729,162,983,489/1,628,214
  6. Step 6: Final answer
    x = 3,518,679.35

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Why These Related Problems?

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