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Finding the Third Proportional to 701,313 and 1,522,182

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Solution

The third proportional to 701,313 and 1,522,182 is: 3,303,857.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,313 : 1,522,182 = 1,522,182 : x
  2. Step 2: Convert to fraction form
    701,313/1,522,182 = 1,522,182/x
  3. Step 3: Cross multiply
    701,313x = 1,522,182 × 1,522,182
  4. Step 4: Simplify right side
    701,313x = 2,317,038,041,124
  5. Step 5: Solve for x
    x = 2,317,038,041,124/701,313
  6. Step 6: Final answer
    x = 3,303,857.25

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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.