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Finding the Third Proportional to 701,012 and 1,520,124

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Solution

The third proportional to 701,012 and 1,520,124 is: 3,296,344.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,012 : 1,520,124 = 1,520,124 : x
  2. Step 2: Convert to fraction form
    701,012/1,520,124 = 1,520,124/x
  3. Step 3: Cross multiply
    701,012x = 1,520,124 × 1,520,124
  4. Step 4: Simplify right side
    701,012x = 2,310,776,975,376
  5. Step 5: Solve for x
    x = 2,310,776,975,376/701,012
  6. Step 6: Final answer
    x = 3,296,344.39

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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.