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Finding the Third Proportional to 630,544 and 1,342,880

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Solution

The third proportional to 630,544 and 1,342,880 is: 2,859,953.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,544 : 1,342,880 = 1,342,880 : x
  2. Step 2: Convert to fraction form
    630,544/1,342,880 = 1,342,880/x
  3. Step 3: Cross multiply
    630,544x = 1,342,880 × 1,342,880
  4. Step 4: Simplify right side
    630,544x = 1,803,326,694,400
  5. Step 5: Solve for x
    x = 1,803,326,694,400/630,544
  6. Step 6: Final answer
    x = 2,859,953.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.