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Finding the Third Proportional to 488,517 and 1,060,590

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Solution

The third proportional to 488,517 and 1,060,590 is: 2,302,583.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,517 : 1,060,590 = 1,060,590 : x
  2. Step 2: Convert to fraction form
    488,517/1,060,590 = 1,060,590/x
  3. Step 3: Cross multiply
    488,517x = 1,060,590 × 1,060,590
  4. Step 4: Simplify right side
    488,517x = 1,124,851,148,100
  5. Step 5: Solve for x
    x = 1,124,851,148,100/488,517
  6. Step 6: Final answer
    x = 2,302,583.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.