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Finding the Third Proportional to 621,814 and 1,342,880

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Solution

The third proportional to 621,814 and 1,342,880 is: 2,900,106.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,814 : 1,342,880 = 1,342,880 : x
  2. Step 2: Convert to fraction form
    621,814/1,342,880 = 1,342,880/x
  3. Step 3: Cross multiply
    621,814x = 1,342,880 × 1,342,880
  4. Step 4: Simplify right side
    621,814x = 1,803,326,694,400
  5. Step 5: Solve for x
    x = 1,803,326,694,400/621,814
  6. Step 6: Final answer
    x = 2,900,106.29

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.